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56003136 = 263741669
BaseRepresentation
bin1101010110100…
…0101001000000
310220101020212020
43111220221000
5103314100021
65320201440
71250006310
oct325505100
9126336766
1056003136
1129680a92
1216909280
13b7aa967
14761b440
154db37c6
hex3568a40

56003136 has 56 divisors (see below), whose sum is σ = 169346880. Its totient is φ = 16000512.

The previous prime is 56003131. The next prime is 56003149. The reversal of 56003136 is 63130065.

56003136 = T259 + T260 + ... + T706.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is not an unprimeable number, because it can be changed into a prime (56003131) 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, 19491 + ... + 22178.

Almost surely, 256003136 is an apocalyptic number.

56003136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56003136 is an abundant number, since it is smaller than the sum of its proper divisors (113343744).

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

56003136 is a wasteful number, since it uses less digits than its factorization.

56003136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41691 (or 41681 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 56003136 is about 7483.5243034282. The cubic root of 56003136 is about 382.5933780309.

The spelling of 56003136 in words is "fifty-six million, three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 41669 83338 125007 166676 250014 291683 333352 500028 583366 666704 875049 1000056 1166732 1333408 1750098 2000112 2333464 2666816 3500196 4000224 4666928 7000392 8000448 9333856 14000784 18667712 28001568 56003136