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255296160 = 253257193143
BaseRepresentation
bin11110011011110…
…00001010100000
3122210101101111100
433031320022200
51010323434120
641155514400
76216660450
oct1715701240
9583341440
10255296160
11121120869
12715b8a00
1340b78222
1425c97d60
151762d490
hexf3782a0

255296160 has 576 divisors, whose sum is σ = 1107025920. Its totient is φ = 52254720.

The previous prime is 255296101. The next prime is 255296213. The reversal of 255296160 is 61692552.

255296160 is a `hidden beast` number, since 2 + 552 + 96 + 16 + 0 = 666.

It is a super-2 number, since 2×2552961602 = 130352258621491200, 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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5937099 + ... + 5937141.

It is an arithmetic number, because the mean of its divisors is an integer number (1921920).

Almost surely, 2255296160 is an apocalyptic number.

255296160 is a gapful number since it is divisible by the number (20) 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 255296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553512960).

255296160 is an abundant number, since it is smaller than the sum of its proper divisors (851729760).

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

255296160 is a wasteful number, since it uses less digits than its factorization.

255296160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 255296160 is about 15977.9898610557. The cubic root of 255296160 is about 634.3779719016.

The spelling of 255296160 in words is "two hundred fifty-five million, two hundred ninety-six thousand, one hundred sixty".