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255589340 = 225233715017
BaseRepresentation
bin11110011101111…
…11101111011100
3122210221021122212
433032333233130
51010412324330
641210055552
76222321266
oct1716775734
9583837585
10255589340
11121301066
127171a5b8
1340c4b7c6
1425d32b36
151768a295
hexf3bfbdc

255589340 has 48 divisors (see below), whose sum is σ = 575249472. Its totient is φ = 95141376.

The previous prime is 255589333. The next prime is 255589343. The reversal of 255589340 is 43985552.

It is a super-4 number, since 4×2555893404 (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255589343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9512 + ... + 24528.

It is an arithmetic number, because the mean of its divisors is an integer number (11984364).

Almost surely, 2255589340 is an apocalyptic number.

255589340 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 255589340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287624736).

255589340 is an abundant number, since it is smaller than the sum of its proper divisors (319660132).

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

255589340 is a wasteful number, since it uses less digits than its factorization.

255589340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15086 (or 15084 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The square root of 255589340 is about 15987.1617243337. The cubic root of 255589340 is about 634.6207171429.

The spelling of 255589340 in words is "two hundred fifty-five million, five hundred eighty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 851 1702 3404 4255 8510 15017 17020 30034 60068 75085 150170 300340 345391 555629 690782 1111258 1381564 1726955 2222516 2778145 3453910 5556290 6907820 11112580 12779467 25558934 51117868 63897335 127794670 255589340