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131087008 = 25131392267
BaseRepresentation
bin1111101000000…
…11101010100000
3100010122220120101
413310003222200
5232024241013
621001352144
73151135603
oct764035240
9303586511
10131087008
1167aa4678
1237a98654
13212094a0
14135a433a
15b7958dd
hex7d03aa0

131087008 has 48 divisors (see below), whose sum is σ = 280052640. Its totient is φ = 60039936.

The previous prime is 131086973. The next prime is 131087027. The reversal of 131087008 is 800780131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56691 + ... + 58957.

It is an arithmetic number, because the mean of its divisors is an integer number (5834430).

Almost surely, 2131087008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131087008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140026320).

131087008 is an abundant number, since it is smaller than the sum of its proper divisors (148965632).

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

131087008 is a wasteful number, since it uses less digits than its factorization.

131087008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 131087008 is about 11449.3234734634. The cubic root of 131087008 is about 507.9877236788.

The spelling of 131087008 in words is "one hundred thirty-one million, eighty-seven thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 139 208 278 416 556 1112 1807 2224 2267 3614 4448 4534 7228 9068 14456 18136 28912 29471 36272 57824 58942 72544 117884 235768 315113 471536 630226 943072 1260452 2520904 4096469 5041808 8192938 10083616 16385876 32771752 65543504 131087008