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56072100 = 22352726701
BaseRepresentation
bin1101010111100…
…1011110100100
310220111202110110
43111321132210
5103323301400
65321453020
71250414340
oct325713644
9126452413
1056072100
1129718887
1216941170
13b803176
147638620
154dc8e50
hex35797a4

56072100 has 72 divisors (see below), whose sum is σ = 185418688. Its totient is φ = 12816000.

The previous prime is 56072063. The next prime is 56072101. The reversal of 56072100 is 127065.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (56072101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11251 + ... + 15450.

Almost surely, 256072100 is an apocalyptic number.

56072100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56072100 is an abundant number, since it is smaller than the sum of its proper divisors (129346588).

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

56072100 is a wasteful number, since it uses less digits than its factorization.

56072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26725 (or 26718 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 56072100 is about 7488.1306078353. The cubic root of 56072100 is about 382.7503593984.

Adding to 56072100 its reverse (127065), we get a palindrome (56199165).

The spelling of 56072100 in words is "fifty-six million, seventy-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 26701 53402 80103 106804 133505 160206 186907 267010 320412 373814 400515 534020 560721 667525 747628 801030 934535 1121442 1335050 1602060 1869070 2002575 2242884 2670100 2803605 3738140 4005150 4672675 5607210 8010300 9345350 11214420 14018025 18690700 28036050 56072100