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131494528 = 2711611531
BaseRepresentation
bin1111101011001…
…11001010000000
3100011102121120201
413311213022000
5232130311103
621014214544
73154453654
oct765471200
9304377521
10131494528
1168252870
1238054454
132131cb19
141366ca64
15b82651d
hex7d67280

131494528 has 64 divisors (see below), whose sum is σ = 290651040. Its totient is φ = 58752000.

The previous prime is 131494513. The next prime is 131494543. The reversal of 131494528 is 825494131.

It is an interprime number because it is at equal distance from previous prime (131494513) and next prime (131494543).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85123 + ... + 86653.

Almost surely, 2131494528 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 131494528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145325520).

131494528 is an abundant number, since it is smaller than the sum of its proper divisors (159156512).

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

131494528 is a wasteful number, since it uses less digits than its factorization.

131494528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1605 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 131494528 is about 11467.1063481595. The cubic root of 131494528 is about 508.5135856206.

The spelling of 131494528 in words is "one hundred thirty-one million, four hundred ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 352 488 671 704 976 1342 1408 1531 1952 2684 3062 3904 5368 6124 7808 10736 12248 16841 21472 24496 33682 42944 48992 67364 85888 93391 97984 134728 186782 195968 269456 373564 538912 747128 1027301 1077824 1494256 2054602 2155648 2988512 4109204 5977024 8218408 11954048 16436816 32873632 65747264 131494528