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672852960 = 253351311981
BaseRepresentation
bin101000000110101…
…110101111100000
31201220002110202000
4220012232233200
52334222243320
6150433324000
722450104303
oct5006565740
91656073660
10672852960
1131589842a
12169406600
13a9525b60
146550cb3a
153e10dc90
hex281aebe0

672852960 has 192 divisors, whose sum is σ = 2536349760. Its totient is φ = 165611520.

The previous prime is 672852941. The next prime is 672852977. The reversal of 672852960 is 69258276.

672852960 is a `hidden beast` number, since 67 + 2 + 8 + 529 + 60 = 666.

It is a super-2 number, since 2×6728529602 = 905462211561523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50170 + ... + 62150.

It is an arithmetic number, because the mean of its divisors is an integer number (13210155).

Almost surely, 2672852960 is an apocalyptic number.

672852960 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 672852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268174880).

672852960 is an abundant number, since it is smaller than the sum of its proper divisors (1863496800).

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

672852960 is a wasteful number, since it uses less digits than its factorization.

672852960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12018 (or 12004 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 672852960 is about 25939.4093995989. The cubic root of 672852960 is about 876.2742620315.

The spelling of 672852960 in words is "six hundred seventy-two million, eight hundred fifty-two thousand, nine hundred sixty".