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131661450 = 23452192959
BaseRepresentation
bin1111101100011…
…11111010001010
3100011202002120000
413312033322022
5232201131300
621021543430
73156050424
oct766177212
9304662500
10131661450
1168357218
1238114b76
132137aaab
14136b3814
15b85ac00
hex7d8fe8a

131661450 has 240 divisors, whose sum is σ = 405108000. Its totient is φ = 31570560.

The previous prime is 131661443. The next prime is 131661451. The reversal of 131661450 is 54166131.

It is a super-2 number, since 2×1316614502 = 34669474832205000, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131661451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2231521 + ... + 2231579.

It is an arithmetic number, because the mean of its divisors is an integer number (1687950).

Almost surely, 2131661450 is an apocalyptic number.

131661450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131661450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202554000).

131661450 is an abundant number, since it is smaller than the sum of its proper divisors (273446550).

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

131661450 is a wasteful number, since it uses less digits than its factorization.

131661450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

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

The square root of 131661450 is about 11474.3823363177. The cubic root of 131661450 is about 508.7286673538.

The spelling of 131661450 in words is "one hundred thirty-one million, six hundred sixty-one thousand, four hundred fifty".