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660028152240 = 24335401976031
BaseRepresentation
bin10011001101011001011…
…11100101100110110000
32100002122111102010212000
421212230233211212300
541303214201332430
61223113541534000
765454053504142
oct11465457454660
92302574363760
10660028152240
11234a09759876
12a7b02114300
134a318193612
1423d34784c92
151227ecd1e60
hex99acbe59b0

660028152240 has 160 divisors (see below), whose sum is σ = 2274025881600. Its totient is φ = 175961399040.

The previous prime is 660028152211. The next prime is 660028152263. The reversal of 660028152240 is 42251820066.

It is a happy number.

660028152240 is a `hidden beast` number, since 6 + 600 + 2 + 8 + 1 + 5 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 660028152195 and 660028152204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8643025 + ... + 8719055.

It is an arithmetic number, because the mean of its divisors is an integer number (14212661760).

Almost surely, 2660028152240 is an apocalyptic number.

660028152240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660028152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137012940800).

660028152240 is an abundant number, since it is smaller than the sum of its proper divisors (1613997729360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

660028152240 is a wasteful number, since it uses less digits than its factorization.

660028152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80072 (or 80060 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 660028152240 in words is "six hundred sixty billion, twenty-eight million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 4019 8038 12057 16076 20095 24114 32152 36171 40190 48228 60285 64304 72342 76031 80380 96456 108513 120570 144684 152062 160760 180855 192912 217026 228093 241140 289368 304124 321520 361710 380155 434052 456186 482280 542565 578736 608248 684279 723420 760310 868104 912372 964560 1085130 1140465 1216496 1368558 1446840 1520620 1736208 1824744 2052837 2170260 2280930 2737116 2893680 3041240 3421395 3649488 4105674 4340520 4561860 5474232 6082480 6842790 8211348 8681040 9123720 10264185 10948464 13685580 16422696 18247440 20528370 27371160 32845392 41056740 54742320 82113480 164226960 305568589 611137178 916705767 1222274356 1527842945 1833411534 2444548712 2750117301 3055685890 3666823068 4583528835 4889097424 5500234602 6111371780 7333646136 8250351903 9167057670 11000469204 12222743560 13750586505 14667292272 16500703806 18334115340 22000938408 24445487120 27501173010 33001407612 36668230680 41251759515 44001876816 55002346020 66002815224 73336461360 82503519030 110004692040 132005630448 165007038060 220009384080 330014076120 660028152240