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100883140 = 22518472731
BaseRepresentation
bin1100000001101…
…01101011000100
321000211101122121
412000311223010
5201311230030
614002135324
72333330641
oct600655304
9230741577
10100883140
1151a44aa6
1229951544
1317b92787
14d580dc8
158ccb47a
hex6035ac4

100883140 has 24 divisors (see below), whose sum is σ = 212046912. Its totient is φ = 40316640.

The previous prime is 100883137. The next prime is 100883161. The reversal of 100883140 is 41388001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35575 + ... + 38305.

It is an arithmetic number, because the mean of its divisors is an integer number (8835288).

Almost surely, 2100883140 is an apocalyptic number.

100883140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100883140 is an abundant number, since it is smaller than the sum of its proper divisors (111163772).

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

100883140 is a wasteful number, since it uses less digits than its factorization.

100883140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 100883140 is about 10044.0599361015. The cubic root of 100883140 is about 465.5212715202.

It can be divided in two parts, 1008 and 83140, that added together give a palindrome (84148).

The spelling of 100883140 in words is "one hundred million, eight hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1847 2731 3694 5462 7388 9235 10924 13655 18470 27310 36940 54620 5044157 10088314 20176628 25220785 50441570 100883140