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131662152 = 23334114867
BaseRepresentation
bin1111101100100…
…00000101001000
3100011202010112000
413312100011020
5232201142102
621021551000
73156052446
oct766200510
9304663460
10131662152
11683577a6
1238115460
132137b1cb
14136b3b96
15b85b01c
hex7d90148

131662152 has 64 divisors (see below), whose sum is σ = 374673600. Its totient is φ = 42814080.

The previous prime is 131662151. The next prime is 131662163. The reversal of 131662152 is 251266131.

131662152 is a `hidden beast` number, since 1 + 31 + 6 + 621 + 5 + 2 = 666.

It is a super-2 number, since 2×1316621522 = 34669844538542208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131662151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1423 + ... + 16289.

It is an arithmetic number, because the mean of its divisors is an integer number (5854275).

Almost surely, 2131662152 is an apocalyptic number.

131662152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131662152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187336800).

131662152 is an abundant number, since it is smaller than the sum of its proper divisors (243011448).

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

131662152 is a wasteful number, since it uses less digits than its factorization.

131662152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14923 (or 14913 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 131662152 is about 11474.4129261588. The cubic root of 131662152 is about 508.7295715084.

The spelling of 131662152 in words is "one hundred thirty-one million, six hundred sixty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 14867 29734 44601 59468 89202 118936 133803 178404 267606 356808 401409 535212 609547 802818 1070424 1219094 1605636 1828641 2438188 3211272 3657282 4876376 5485923 7314564 10971846 14629128 16457769 21943692 32915538 43887384 65831076 131662152