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10315944 = 2333163293
BaseRepresentation
bin100111010110…
…100010101000
3201102002211000
4213112202220
510120102234
61005035000
7153453432
oct47264250
921362730
1010315944
115906581
123555a60
1321a2612
141527652
15d8b899
hex9d68a8

10315944 has 64 divisors (see below), whose sum is σ = 28929600. Its totient is φ = 3405888.

The previous prime is 10315931. The next prime is 10315979. The reversal of 10315944 is 44951301.

It is a super-2 number, since 2×103159442 = 212837401222272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35062 + ... + 35354.

It is an arithmetic number, because the mean of its divisors is an integer number (452025).

Almost surely, 210315944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14464800).

10315944 is an abundant number, since it is smaller than the sum of its proper divisors (18613656).

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

10315944 is a wasteful number, since it uses less digits than its factorization.

10315944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10315944 is about 3211.8443299762. The cubic root of 10315944 is about 217.6889202798.

The spelling of 10315944 in words is "ten million, three hundred fifteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 163 216 293 326 489 586 652 879 978 1172 1304 1467 1758 1956 2344 2637 2934 3516 3912 4401 5274 5868 7032 7911 8802 10548 11736 15822 17604 21096 31644 35208 47759 63288 95518 143277 191036 286554 382072 429831 573108 859662 1146216 1289493 1719324 2578986 3438648 5157972 10315944