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332130720 = 25355411279
BaseRepresentation
bin10011110010111…
…110100110100000
3212010221222200210
4103302332212200
51140011140340
652542414120
711142031065
oct2362764640
9763858623
10332130720
1116052a7a9
1293291340
1353a6a86c
1432178c6c
151e259180
hex13cbe9a0

332130720 has 96 divisors (see below), whose sum is σ = 1048965120. Its totient is φ = 88335360.

The previous prime is 332130653. The next prime is 332130731. The reversal of 332130720 is 27031233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3321307202 = 220621630335436800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259041 + ... + 260319.

It is an arithmetic number, because the mean of its divisors is an integer number (10926720).

Almost surely, 2332130720 is an apocalyptic number.

332130720 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 332130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524482560).

332130720 is an abundant number, since it is smaller than the sum of its proper divisors (716834400).

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

332130720 is a wasteful number, since it uses less digits than its factorization.

332130720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 332130720 is about 18224.4539012833. The cubic root of 332130720 is about 692.5264240287.

Adding to 332130720 its reverse (27031233), we get a palindrome (359161953).

The spelling of 332130720 in words is "three hundred thirty-two million, one hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 541 1082 1279 1623 2164 2558 2705 3246 3837 4328 5116 5410 6395 6492 7674 8115 8656 10232 10820 12790 12984 15348 16230 17312 19185 20464 21640 25580 25968 30696 32460 38370 40928 43280 51160 51936 61392 64920 76740 86560 102320 122784 129840 153480 204640 259680 306960 613920 691939 1383878 2075817 2767756 3459695 4151634 5535512 6919390 8303268 10379085 11071024 13838780 16606536 20758170 22142048 27677560 33213072 41516340 55355120 66426144 83032680 110710240 166065360 332130720