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255294720 = 283358389
BaseRepresentation
bin11110011011101…
…11110100000000
3122210101022112000
433031313310000
51010323412340
641155504000
76216653322
oct1715676400
9583338460
10255294720
1112111a77a
12715b8000
1340b77685
1425c97612
151762cd30
hexf377d00

255294720 has 288 divisors, whose sum is σ = 927158400. Its totient is φ = 66502656.

The previous prime is 255294713. The next prime is 255294727. The reversal of 255294720 is 27492552.

It is a happy number.

255294720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255294713) and next prime (255294727).

It is a tau number, because it is divible by the number of its divisors (288).

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 (255294727) 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, 2868436 + ... + 2868524.

It is an arithmetic number, because the mean of its divisors is an integer number (3219300).

Almost surely, 2255294720 is an apocalyptic number.

255294720 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 255294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463579200).

255294720 is an abundant number, since it is smaller than the sum of its proper divisors (671863680).

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

255294720 is an equidigital number, since it uses as much as digits as its factorization.

255294720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 255294720 is about 15977.9447990034. The cubic root of 255294720 is about 634.3767791614.

The spelling of 255294720 in words is "two hundred fifty-five million, two hundred ninety-four thousand, seven hundred twenty".