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131670720 = 26325131349
BaseRepresentation
bin1111101100100…
…10001011000000
3100011202120021100
413312102023000
5232201430340
621022054400
73156116436
oct766221300
9304676240
10131670720
1168363185
123811a400
132138208c
14136b6d56
15b85d830
hex7d922c0

131670720 has 168 divisors, whose sum is σ = 457657200. Its totient is φ = 34744320.

The previous prime is 131670691. The next prime is 131670727. The reversal of 131670720 is 27076131.

It is not an unprimeable number, because it can be changed into a prime (131670727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377106 + ... + 377454.

It is an arithmetic number, because the mean of its divisors is an integer number (2724150).

Almost surely, 2131670720 is an apocalyptic number.

131670720 is a gapful number since it is divisible by the number (10) 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 131670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228828600).

131670720 is an abundant number, since it is smaller than the sum of its proper divisors (325986480).

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

131670720 is a wasteful number, since it uses less digits than its factorization.

131670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 131670720 is about 11474.7862725194. The cubic root of 131670720 is about 508.7406065713.

The spelling of 131670720 in words is "one hundred thirty-one million, six hundred seventy thousand, seven hundred twenty".