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255696090 = 235134115991
BaseRepresentation
bin11110011110110…
…01110011011010
3122211010201002120
433033121303122
51010424233330
641212242110
76223244436
oct1717316332
9584121076
10255696090
11121374291
1271770336
1340c88280
1425d5d9c6
15176abc10
hexf3d9cda

255696090 has 64 divisors (see below), whose sum is σ = 677037312. Its totient is φ = 61401600.

The previous prime is 255696019. The next prime is 255696101. The reversal of 255696090 is 90696552.

255696090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 7995 + ... + 23985.

It is an arithmetic number, because the mean of its divisors is an integer number (10578708).

Almost surely, 2255696090 is an apocalyptic number.

It is a pronic number, being equal to 15990×15991.

It is a practical number, because each smaller number is the sum of distinct divisors of 255696090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338518656).

255696090 is an abundant number, since it is smaller than the sum of its proper divisors (421341222).

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

255696090 is a wasteful number, since it uses less digits than its factorization.

255696090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16055.

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 255696090 is about 15990.4999921829. The cubic root of 255696090 is about 634.7090572019.

The spelling of 255696090 in words is "two hundred fifty-five million, six hundred ninety-six thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 390 410 533 615 1066 1230 1599 2665 3198 5330 7995 15990 15991 31982 47973 79955 95946 159910 207883 239865 415766 479730 623649 655631 1039415 1247298 1311262 1966893 2078830 3118245 3278155 3933786 6236490 6556310 8523203 9834465 17046406 19668930 25569609 42616015 51139218 85232030 127848045 255696090