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660345400 = 2352112132099
BaseRepresentation
bin100111010111000…
…001001000111000
31201000120000121001
4213113001020320
52323022023100
6145305254344
722235562151
oct4727011070
91630500531
10660345400
11309825300
121651943b4
13a6a66b30
14639b4928
153ce8cd6a
hex275c1238

660345400 has 144 divisors (see below), whose sum is σ = 1818243000. Its totient is φ = 221548800.

The previous prime is 660345383. The next prime is 660345403. The reversal of 660345400 is 4543066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (660345403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 313551 + ... + 315649.

Almost surely, 2660345400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909121500).

660345400 is an abundant number, since it is smaller than the sum of its proper divisors (1157897600).

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

660345400 is a wasteful number, since it uses less digits than its factorization.

660345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 660345400 is about 25697.1866164372. The cubic root of 660345400 is about 870.8106242154.

Adding to 660345400 its reverse (4543066), we get a palindrome (664888466).

It can be divided in two parts, 6603 and 45400, that added together give a triangular number (52003 = T322).

The spelling of 660345400 in words is "six hundred sixty million, three hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 121 130 143 200 220 242 260 275 286 325 440 484 520 550 572 605 650 715 968 1100 1144 1210 1300 1430 1573 2099 2200 2420 2600 2860 3025 3146 3575 4198 4840 5720 6050 6292 7150 7865 8396 10495 12100 12584 14300 15730 16792 20990 23089 24200 27287 28600 31460 39325 41980 46178 52475 54574 62920 78650 83960 92356 104950 109148 115445 136435 157300 184712 209900 218296 230890 253979 272870 300157 314600 419800 461780 507958 545740 577225 600314 682175 923560 1015916 1091480 1154450 1200628 1269895 1364350 1500785 2031832 2308900 2401256 2539790 2728700 3001570 3301727 4617800 5079580 5457400 6003140 6349475 6603454 7503925 10159160 12006280 12698950 13206908 15007850 16508635 25397900 26413816 30015700 33017270 50795800 60031400 66034540 82543175 132069080 165086350 330172700 660345400