Search a number
-
+
1324386960 = 2435133113693
BaseRepresentation
bin100111011110000…
…1000101010010000
310102022001211100220
41032330020222100
510203020340320
6335230113040
744551050321
oct11674105220
93368054326
101324386960
1161a644586
1230b64b780
131814c6130
14c7c6c448
157b40ae40
hex4ef08a90

1324386960 has 160 divisors (see below), whose sum is σ = 4564374528. Its totient is φ = 315463680.

The previous prime is 1324386953. The next prime is 1324386979. The reversal of 1324386960 is 696834231.

It is a super-3 number, since 3×13243869603 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 89874 + ... + 103566.

Almost surely, 21324386960 is an apocalyptic number.

1324386960 is a gapful number since it is divisible by the number (10) 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 1324386960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282187264).

1324386960 is an abundant number, since it is smaller than the sum of its proper divisors (3239987568).

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

1324386960 is a wasteful number, since it uses less digits than its factorization.

1324386960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13753 (or 13747 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 1324386960 is about 36392.1277201540. The cubic root of 1324386960 is about 1098.1752003932.

The spelling of 1324386960 in words is "one billion, three hundred twenty-four million, three hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 195 208 240 248 260 310 312 372 390 403 465 496 520 620 624 744 780 806 930 1040 1209 1240 1488 1560 1612 1860 2015 2418 2480 3120 3224 3720 4030 4836 6045 6448 7440 8060 9672 12090 13693 16120 19344 24180 27386 32240 41079 48360 54772 68465 82158 96720 109544 136930 164316 178009 205395 219088 273860 328632 356018 410790 424483 534027 547720 657264 712036 821580 848966 890045 1068054 1095440 1273449 1424072 1643160 1697932 1780090 2122415 2136108 2546898 2670135 2848144 3286320 3395864 3560180 4244830 4272216 5093796 5340270 5518279 6367245 6791728 7120360 8489660 8544432 10187592 10680540 11036558 12734490 14240720 16554837 16979320 20375184 21361080 22073116 25468980 27591395 33109674 33958640 42722160 44146232 50937960 55182790 66219348 82774185 88292464 101875920 110365580 132438696 165548370 220731160 264877392 331096740 441462320 662193480 1324386960