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131553536 = 28513881
BaseRepresentation
bin1111101011101…
…01100100000000
3100011112121112012
413311311210000
5232134203121
621015352052
73155121002
oct765654400
9304477465
10131553536
1168293134
1238082628
132134093a
1413686372
15b838c5b
hex7d75900

131553536 has 18 divisors (see below), whose sum is σ = 262593702. Its totient is φ = 65776640.

The previous prime is 131553533. The next prime is 131553547. The reversal of 131553536 is 635355131.

It can be written as a sum of positive squares in only one way, i.e., 131239936 + 313600 = 11456^2 + 560^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (131553533) by changing a digit.

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 as a sum of consecutive naturals, namely, 256685 + ... + 257196.

It is an arithmetic number, because the mean of its divisors is an integer number (14588539).

Almost surely, 2131553536 is an apocalyptic number.

131553536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131553536 is a deficient number, since it is larger than the sum of its proper divisors (131040166).

131553536 is an frugal number, since it uses more digits than its factorization.

131553536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513897 (or 513883 counting only the distinct ones).

The product of its digits is 20250, while the sum is 32.

The square root of 131553536 is about 11469.6789841739. The cubic root of 131553536 is about 508.5896391842.

The spelling of 131553536 in words is "one hundred thirty-one million, five hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 513881 1027762 2055524 4111048 8222096 16444192 32888384 65776768 131553536