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325729920 = 2735198929
BaseRepresentation
bin10011011010100…
…011111010000000
3211200220210110010
4103122203322000
51131341324140
652153304520
711033441625
oct2332437200
9750823403
10325729920
1115795878a
1291105140
13526392c9
143139034c
151d8e2880
hex136a3e80

325729920 has 128 divisors (see below), whose sum is σ = 1093032000. Its totient is φ = 82280448.

The previous prime is 325729883. The next prime is 325729951. The reversal of 325729920 is 29927523.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 32016 + ... + 40944.

Almost surely, 2325729920 is an apocalyptic number.

325729920 is a gapful number since it is divisible by the number (30) 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 325729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546516000).

325729920 is an abundant number, since it is smaller than the sum of its proper divisors (767302080).

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

325729920 is a wasteful number, since it uses less digits than its factorization.

325729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8970 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 325729920 is about 18047.9893616990. The cubic root of 325729920 is about 688.0487616422.

The spelling of 325729920 in words is "three hundred twenty-five million, seven hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 7296 8929 9120 12160 17858 18240 26787 35716 36480 44645 53574 71432 89290 107148 133935 142864 169651 178580 214296 267870 285728 339302 357160 428592 508953 535740 571456 678604 714320 848255 857184 1017906 1071480 1142912 1357208 1428640 1696510 1714368 2035812 2142960 2544765 2714416 2857280 3393020 3428736 4071624 4285920 5089530 5428832 5714560 6786040 8143248 8571840 10179060 10857664 13572080 16286496 17143680 20358120 21715328 27144160 32572992 40716240 54288320 65145984 81432480 108576640 162864960 325729920