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255778080 = 25352332287
BaseRepresentation
bin11110011111011…
…01110100100000
3122211021212120020
433033231310200
51010434344310
641214113440
76224035455
oct1717556440
9584255506
10255778080
1112141a948
12717ab880
1340cb669c
1425d8182c
15176c6170
hexf3edd20

255778080 has 96 divisors (see below), whose sum is σ = 809512704. Its totient is φ = 67885056.

The previous prime is 255778069. The next prime is 255778109. The reversal of 255778080 is 80877552.

It is a happy number.

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, 110697 + ... + 112983.

It is an arithmetic number, because the mean of its divisors is an integer number (8432424).

Almost surely, 2255778080 is an apocalyptic number.

255778080 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 255778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404756352).

255778080 is an abundant number, since it is smaller than the sum of its proper divisors (553734624).

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

255778080 is a wasteful number, since it uses less digits than its factorization.

255778080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 255778080 is about 15993.0634964037. The cubic root of 255778080 is about 634.7768906396.

The spelling of 255778080 in words is "two hundred fifty-five million, seven hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 233 240 466 480 699 932 1165 1398 1864 2287 2330 2796 3495 3728 4574 4660 5592 6861 6990 7456 9148 9320 11184 11435 13722 13980 18296 18640 22368 22870 27444 27960 34305 36592 37280 45740 54888 55920 68610 73184 91480 109776 111840 137220 182960 219552 274440 365920 532871 548880 1065742 1097760 1598613 2131484 2664355 3197226 4262968 5328710 6394452 7993065 8525936 10657420 12788904 15986130 17051872 21314840 25577808 31972260 42629680 51155616 63944520 85259360 127889040 255778080