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100580052 = 22341204431
BaseRepresentation
bin1011111111010…
…11101011010100
321000020222220010
411333223223110
5201222030202
613551440220
72330626206
oct577535324
9230228803
10100580052
1151858311
1229826070
1317ab7831
14d502776
158c6b76c
hex5febad4

100580052 has 24 divisors (see below), whose sum is σ = 240412032. Its totient is φ = 32708800.

The previous prime is 100580021. The next prime is 100580059. The reversal of 100580052 is 250085001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100580059) 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, 101724 + ... + 102707.

It is an arithmetic number, because the mean of its divisors is an integer number (10017168).

Almost surely, 2100580052 is an apocalyptic number.

100580052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100580052 is an abundant number, since it is smaller than the sum of its proper divisors (139831980).

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

100580052 is a wasteful number, since it uses less digits than its factorization.

100580052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204479 (or 204477 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 100580052 is about 10028.9606639970. The cubic root of 100580052 is about 465.0546079931.

The spelling of 100580052 in words is "one hundred million, five hundred eighty thousand, fifty-two".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 204431 408862 613293 817724 1226586 2453172 8381671 16763342 25145013 33526684 50290026 100580052