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10032044320 = 255235415039
BaseRepresentation
bin10010101011111010…
…01101100100100000
3221220011001122200001
421111331031210200
5131021200404240
64335245305344
7503413653424
oct112575154440
927804048601
1010032044320
114288911421
121b3b865254
13c3b529acc
146b2504b84
153daadc89a
hex255f4d920

10032044320 has 96 divisors (see below), whose sum is σ = 24781800960. Its totient is φ = 3830492160.

The previous prime is 10032044273. The next prime is 10032044353. The reversal of 10032044320 is 2344023001.

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, 1988361 + ... + 1993399.

It is an arithmetic number, because the mean of its divisors is an integer number (258143760).

Almost surely, 210032044320 is an apocalyptic number.

10032044320 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 10032044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12390900480).

10032044320 is an abundant number, since it is smaller than the sum of its proper divisors (14749756640).

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

10032044320 is a wasteful number, since it uses less digits than its factorization.

10032044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10032044320 its reverse (2344023001), we get a palindrome (12376067321).

The spelling of 10032044320 in words is "ten billion, thirty-two million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 541 736 920 1082 1840 2164 2705 3680 4328 5039 5410 8656 10078 10820 12443 17312 20156 21640 24886 25195 40312 43280 49772 50390 62215 80624 86560 99544 100780 115897 124430 161248 199088 201560 231794 248860 398176 403120 463588 497720 579485 806240 927176 995440 1158970 1854352 1990880 2317940 2726099 3708704 4635880 5452198 9271760 10904396 13630495 18543520 21808792 27260990 43617584 54521980 62700277 87235168 109043960 125400554 218087920 250801108 313501385 436175840 501602216 627002770 1003204432 1254005540 2006408864 2508011080 5016022160 10032044320