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10392096 = 2531113757
BaseRepresentation
bin100111101001…
…001000100000
3201112222021110
4213221020200
510130021341
61010423320
7154221441
oct47511040
921488243
1010392096
115958810
123591b40
1321cb190
1415472c8
15da4216
hex9e9220

10392096 has 96 divisors (see below), whose sum is σ = 32090688. Its totient is φ = 2903040.

The previous prime is 10392089. The next prime is 10392097. The reversal of 10392096 is 69029301.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10392097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13350 + ... + 14106.

It is an arithmetic number, because the mean of its divisors is an integer number (334278).

Almost surely, 210392096 is an apocalyptic number.

10392096 is a gapful number since it is divisible by the number (16) 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 10392096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045344).

10392096 is an abundant number, since it is smaller than the sum of its proper divisors (21698592).

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

10392096 is a wasteful number, since it uses less digits than its factorization.

10392096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 10392096 is about 3223.6774032152. The cubic root of 10392096 is about 218.2232653583.

The spelling of 10392096 in words is "ten million, three hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 757 858 1056 1144 1248 1514 1716 2271 2288 3028 3432 4542 4576 6056 6864 8327 9084 9841 12112 13728 16654 18168 19682 24224 24981 29523 33308 36336 39364 49962 59046 66616 72672 78728 99924 108251 118092 133232 157456 199848 216502 236184 266464 314912 324753 399696 433004 472368 649506 799392 866008 944736 1299012 1732016 2598024 3464032 5196048 10392096