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10487136 = 253119931
BaseRepresentation
bin101000000000…
…010101100000
3201201210122110
4220000111200
510141042021
61012435320
7155065512
oct50002540
921653573
1010487136
115a13160
123618b40
13223250a
14156dbb2
15dc2476
hexa00560

10487136 has 48 divisors (see below), whose sum is σ = 30034368. Its totient is φ = 3177600.

The previous prime is 10487123. The next prime is 10487143. The reversal of 10487136 is 63178401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3910 + ... + 6021.

It is an arithmetic number, because the mean of its divisors is an integer number (625716).

Almost surely, 210487136 is an apocalyptic number.

10487136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10487136 is an abundant number, since it is smaller than the sum of its proper divisors (19547232).

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

10487136 is a wasteful number, since it uses less digits than its factorization.

10487136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9955 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 10487136 is about 3238.3847825729. The cubic root of 10487136 is about 218.8864948399.

The spelling of 10487136 in words is "ten million, four hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 9931 19862 29793 39724 59586 79448 109241 119172 158896 218482 238344 317792 327723 436964 476688 655446 873928 953376 1310892 1747856 2621784 3495712 5243568 10487136