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10472712 = 2332941367
BaseRepresentation
bin100111111100…
…110100001000
3201201001212020
4213330310020
510140111322
61012244440
7155005455
oct47746410
921631766
1010472712
115a03338
123610720
132228a93
14156882c
15dbd05c
hex9fcd08

10472712 has 64 divisors (see below), whose sum is σ = 27820800. Its totient is φ = 3279360.

The previous prime is 10472701. The next prime is 10472723. The reversal of 10472712 is 21727401.

10472712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10472701) and next prime (10472723).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 28353 + ... + 28719.

It is an arithmetic number, because the mean of its divisors is an integer number (434700).

Almost surely, 210472712 is an apocalyptic number.

10472712 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 10472712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910400).

10472712 is an abundant number, since it is smaller than the sum of its proper divisors (17348088).

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

10472712 is a wasteful number, since it uses less digits than its factorization.

10472712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 10472712 is about 3236.1569801232. The cubic root of 10472712 is about 218.7860966827.

The spelling of 10472712 in words is "ten million, four hundred seventy-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 116 123 164 174 232 246 328 348 367 492 696 734 984 1101 1189 1468 2202 2378 2936 3567 4404 4756 7134 8808 9512 10643 14268 15047 21286 28536 30094 31929 42572 45141 60188 63858 85144 90282 120376 127716 180564 255432 361128 436363 872726 1309089 1745452 2618178 3490904 5236356 10472712