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10475712 = 2632131399
BaseRepresentation
bin100111111101…
…100011000000
3201201012222100
4213331203000
510140210322
61012310400
7155020302
oct47754300
921635870
1010475712
115a05615
123612400
13222a260
141569972
15dbddac
hex9fd8c0

10475712 has 84 divisors (see below), whose sum is σ = 32359600. Its totient is φ = 3220992.

The previous prime is 10475711. The next prime is 10475749. The reversal of 10475712 is 21757401.

10475712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10475711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6789 + ... + 8187.

Almost surely, 210475712 is an apocalyptic number.

10475712 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 10475712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16179800).

10475712 is an abundant number, since it is smaller than the sum of its proper divisors (21883888).

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

10475712 is a wasteful number, since it uses less digits than its factorization.

10475712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 10475712 is about 3236.6204596770. The cubic root of 10475712 is about 218.8069857522.

The spelling of 10475712 in words is "ten million, four hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1399 1872 2496 2798 3744 4197 5596 7488 8394 11192 12591 16788 18187 22384 25182 33576 36374 44768 50364 54561 67152 72748 89536 100728 109122 134304 145496 163683 201456 218244 268608 290992 327366 402912 436488 581984 654732 805824 872976 1163968 1309464 1745952 2618928 3491904 5237856 10475712