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56970080 = 25523113137
BaseRepresentation
bin1101100101010…
…0101101100000
310222012101020222
43121110231200
5104041020310
65353022212
71261144346
oct331245540
9128171228
1056970080
112a181512
12170b4968
13ba58b0b
1477cd996
155005055
hex3654b60

56970080 has 96 divisors (see below), whose sum is σ = 142720704. Its totient is φ = 21446656.

The previous prime is 56970073. The next prime is 56970083. The reversal of 56970080 is 8007965.

It is a self number, because there is not a number n which added to its sum of digits gives 56970080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56970083) 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, 415772 + ... + 415908.

It is an arithmetic number, because the mean of its divisors is an integer number (1486674).

Almost surely, 256970080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56970080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71360352).

56970080 is an abundant number, since it is smaller than the sum of its proper divisors (85750624).

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

56970080 is a wasteful number, since it uses less digits than its factorization.

56970080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 56970080 is about 7547.8526747678. The cubic root of 56970080 is about 384.7827638253.

The spelling of 56970080 in words is "fifty-six million, nine hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 113 115 137 160 184 226 230 274 368 452 460 548 565 685 736 904 920 1096 1130 1370 1808 1840 2192 2260 2599 2740 3151 3616 3680 4384 4520 5198 5480 6302 9040 10396 10960 12604 12995 15481 15755 18080 20792 21920 25208 25990 30962 31510 41584 50416 51980 61924 63020 77405 83168 100832 103960 123848 126040 154810 207920 247696 252080 309620 356063 415840 495392 504160 619240 712126 1238480 1424252 1780315 2476960 2848504 3560630 5697008 7121260 11394016 14242520 28485040 56970080