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108287136 = 2532375997
BaseRepresentation
bin1100111010001…
…01010010100000
321112202120000200
412131011102200
5210210142021
614424545200
72453265636
oct635052240
9245676020
10108287136
1156141801
1230322200
1319585839
141054b356
159790126
hex67454a0

108287136 has 36 divisors (see below), whose sum is σ = 307942362. Its totient is φ = 36095616.

The previous prime is 108287111. The next prime is 108287143. The reversal of 108287136 is 631782801.

It can be written as a sum of positive squares in only one way, i.e., 107246736 + 1040400 = 10356^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1082871362 = 23452207646164992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 108287136.

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 5 ways as a sum of consecutive naturals, for example, 187711 + ... + 188286.

Almost surely, 2108287136 is an apocalyptic number.

108287136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

108287136 is an abundant number, since it is smaller than the sum of its proper divisors (199655226).

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

108287136 is a wasteful number, since it uses less digits than its factorization.

108287136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376013 (or 376002 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 108287136 is about 10406.1105125787. The cubic root of 108287136 is about 476.6419791497.

The spelling of 108287136 in words is "one hundred eight million, two hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 375997 751994 1127991 1503988 2255982 3007976 3383973 4511964 6015952 6767946 9023928 12031904 13535892 18047856 27071784 36095712 54143568 108287136