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10056896 = 263137137
BaseRepresentation
bin100110010111…
…010011000000
3200220221110122
4212113103000
510033310041
6555315412
7151324253
oct46272300
920827418
1010056896
115749993
12344bb68
132111735
14149b09a
15d39c4b
hex9974c0

10056896 has 56 divisors (see below), whose sum is σ = 21311616. Its totient is φ = 4700160.

The previous prime is 10056889. The next prime is 10056899. The reversal of 10056896 is 69865001.

It is a super-2 number, since 2×100568962 = 202282314309632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10056899) 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, 73340 + ... + 73476.

Almost surely, 210056896 is an apocalyptic number.

10056896 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 10056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10655808).

10056896 is an abundant number, since it is smaller than the sum of its proper divisors (11254720).

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

10056896 is a wasteful number, since it uses less digits than its factorization.

10056896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 10056896 is about 3171.2609479511. The cubic root of 10056896 is about 215.8512922484.

The spelling of 10056896 in words is "ten million, fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 137 148 248 274 296 496 548 592 992 1096 1147 1184 1984 2192 2294 2368 4247 4384 4588 5069 8494 8768 9176 10138 16988 18352 20276 33976 36704 40552 67952 73408 81104 135904 157139 162208 271808 314278 324416 628556 1257112 2514224 5028448 10056896