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131662144 = 2617121013
BaseRepresentation
bin1111101100100…
…00000101000000
3100011202010111201
413312100011000
5232201142034
621021550544
73156052435
oct766200500
9304663451
10131662144
1168357799
1238115454
132137b1c3
14136b3b8c
15b85b014
hex7d90140

131662144 has 28 divisors (see below), whose sum is σ = 276638004. Its totient is φ = 61958144.

The previous prime is 131662133. The next prime is 131662147. The reversal of 131662144 is 441266131.

It can be written as a sum of positive squares in 2 ways, for example, as 110502144 + 21160000 = 10512^2 + 4600^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131662147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59419 + ... + 61594.

Almost surely, 2131662144 is an apocalyptic number.

It is an amenable number.

131662144 is an abundant number, since it is smaller than the sum of its proper divisors (144975860).

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

131662144 is a wasteful number, since it uses less digits than its factorization.

131662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121042 (or 121032 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 131662144 is about 11474.4125775571. The cubic root of 131662144 is about 508.7295612046.

The spelling of 131662144 in words is "one hundred thirty-one million, six hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 121013 242026 484052 968104 1936208 2057221 3872416 4114442 7744832 8228884 16457768 32915536 65831072 131662144