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672392160 = 2532511217227
BaseRepresentation
bin101000000100111…
…110001111100000
31201212020001122100
4220010332033200
52334113022120
6150415410400
722443144666
oct5004761740
91655201570
10672392160
11315603200
12169223a00
13a93c41ab
146542cc36
153e06c490
hex2813e3e0

672392160 has 432 divisors, whose sum is σ = 2682218448. Its totient is φ = 152739840.

The previous prime is 672392113. The next prime is 672392167. The reversal of 672392160 is 61293276.

It is a super-2 number, since 2×6723921602 = 904222433658931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672392167) 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 in 71 ways as a sum of consecutive naturals, for example, 2961967 + ... + 2962193.

It is an arithmetic number, because the mean of its divisors is an integer number (6208839).

Almost surely, 2672392160 is an apocalyptic number.

672392160 is a gapful number since it is divisible by the number (60) 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 672392160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341109224).

672392160 is an abundant number, since it is smaller than the sum of its proper divisors (2009826288).

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

672392160 is a wasteful number, since it uses less digits than its factorization.

672392160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 672392160 is about 25930.5256406422. The cubic root of 672392160 is about 876.0741789939.

The spelling of 672392160 in words is "six hundred seventy-two million, three hundred ninety-two thousand, one hundred sixty".