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10155072 = 263227233
BaseRepresentation
bin100110101111…
…010001000000
3201002221010210
4212233101000
510044430242
61001354120
7152213424
oct46572100
921087123
1010155072
115806724
123498940
132147325
1414c4b84
15d58d9c
hex9af440

10155072 has 56 divisors (see below), whose sum is σ = 27102816. Its totient is φ = 3355648.

The previous prime is 10155071. The next prime is 10155077. The reversal of 10155072 is 27055101.

It is not an unprimeable number, because it can be changed into a prime (10155071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43468 + ... + 43700.

Almost surely, 210155072 is an apocalyptic number.

10155072 is a gapful number since it is divisible by the number (12) 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 10155072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13551408).

10155072 is an abundant number, since it is smaller than the sum of its proper divisors (16947744).

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

10155072 is a wasteful number, since it uses less digits than its factorization.

10155072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 10155072 is about 3186.7023707902. The cubic root of 10155072 is about 216.5514032553.

The spelling of 10155072 in words is "ten million, one hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 227 233 454 466 681 699 908 932 1362 1398 1816 1864 2724 2796 3632 3728 5448 5592 7264 7456 10896 11184 14528 14912 21792 22368 43584 44736 52891 105782 158673 211564 317346 423128 634692 846256 1269384 1692512 2538768 3385024 5077536 10155072