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255131520 = 2735741463
BaseRepresentation
bin11110011010011…
…11111110000000
3122210002000122120
433031033332000
51010303202040
641152204240
76215403450
oct1715177600
9583060576
10255131520
111210190a6
1271539680
1340b1b2c7
1425c53d60
15175e97d0
hexf34ff80

255131520 has 256 divisors, whose sum is σ = 954132480. Its totient is φ = 56770560.

The previous prime is 255131509. The next prime is 255131521. The reversal of 255131520 is 25131552.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255131521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550809 + ... + 551271.

It is an arithmetic number, because the mean of its divisors is an integer number (3727080).

Almost surely, 2255131520 is an apocalyptic number.

255131520 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 255131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477066240).

255131520 is an abundant number, since it is smaller than the sum of its proper divisors (699000960).

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

255131520 is a wasteful number, since it uses less digits than its factorization.

255131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 255131520 is about 15972.8369427600. The cubic root of 255131520 is about 634.2415728670.

The spelling of 255131520 in words is "two hundred fifty-five million, one hundred thirty-one thousand, five hundred twenty".