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255973920 = 25351972707
BaseRepresentation
bin11110100000111…
…01101000100000
3122211122211012120
433100131220200
51011012131140
641222224240
76225512436
oct1720355040
9584584176
10255973920
11121543aa4
1271885080
1341054877
1425dd2d56
15177141d0
hexf41da20

255973920 has 96 divisors (see below), whose sum is σ = 810710208. Its totient is φ = 67888128.

The previous prime is 255973903. The next prime is 255973931. The reversal of 255973920 is 29379552.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93207 + ... + 95913.

It is an arithmetic number, because the mean of its divisors is an integer number (8444898).

Almost surely, 2255973920 is an apocalyptic number.

255973920 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 255973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405355104).

255973920 is an abundant number, since it is smaller than the sum of its proper divisors (554736288).

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

255973920 is a wasteful number, since it uses less digits than its factorization.

255973920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 255973920 is about 15999.1849792419. The cubic root of 255973920 is about 634.9388578574.

The spelling of 255973920 in words is "two hundred fifty-five million, nine hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 197 240 394 480 591 788 985 1182 1576 1970 2364 2707 2955 3152 3940 4728 5414 5910 6304 7880 8121 9456 10828 11820 13535 15760 16242 18912 21656 23640 27070 31520 32484 40605 43312 47280 54140 64968 81210 86624 94560 108280 129936 162420 216560 259872 324840 433120 533279 649680 1066558 1299360 1599837 2133116 2666395 3199674 4266232 5332790 6399348 7999185 8532464 10665580 12798696 15998370 17064928 21331160 25597392 31996740 42662320 51194784 63993480 85324640 127986960 255973920