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10073056 = 257193233
BaseRepresentation
bin100110011011…
…001111100000
3200221202122011
4212123033200
510034314211
6555522304
7151422340
oct46331740
920852564
1010073056
115760044
123459394
132118bb6
1414a2d20
15d3e921
hex99b3e0

10073056 has 48 divisors (see below), whose sum is σ = 22879584. Its totient is φ = 4276224.

The previous prime is 10073039. The next prime is 10073069. The reversal of 10073056 is 65037001.

10073056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43116 + ... + 43348.

It is an arithmetic number, because the mean of its divisors is an integer number (476658).

Almost surely, 210073056 is an apocalyptic number.

10073056 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 10073056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439792).

10073056 is an abundant number, since it is smaller than the sum of its proper divisors (12806528).

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

10073056 is a wasteful number, since it uses less digits than its factorization.

10073056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 10073056 is about 3173.8078076657. The cubic root of 10073056 is about 215.9668444766.

The spelling of 10073056 in words is "ten million, seventy-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 193 224 233 386 466 772 932 1351 1544 1631 1864 2702 3088 3262 3728 5404 6176 6524 7456 10808 13048 21616 26096 43232 44969 52192 89938 179876 314783 359752 629566 719504 1259132 1439008 2518264 5036528 10073056