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56064420 = 22335473
BaseRepresentation
bin1101010111011…
…1100110100100
310220111100221000
43111313212210
5103323030140
65321353300
71250353056
oct325674644
9126440830
1056064420
1129713035
1216938830
13b7cc819
1476358d6
154dc6a30
hex35779a4

56064420 has 96 divisors (see below), whose sum is σ = 178214400. Its totient is φ = 14632416.

The previous prime is 56064413. The next prime is 56064431. The reversal of 56064420 is 2446065.

It is a happy number.

56064420 is a `hidden beast` number, since 560 + 64 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1192837 + ... + 1192883.

It is an arithmetic number, because the mean of its divisors is an integer number (1856400).

Almost surely, 256064420 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 56064420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89107200).

56064420 is an abundant number, since it is smaller than the sum of its proper divisors (122149980).

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

56064420 is an equidigital number, since it uses as much as digits as its factorization.

56064420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 56064420 is about 7487.6177787064. The cubic root of 56064420 is about 382.7328839399.

It can be divided in two parts, 560 and 64420, that added together give a triangular number (64980 = T360).

The spelling of 56064420 in words is "fifty-six million, sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2209 2538 2820 4230 4418 5076 6345 6627 8460 8836 11045 12690 13254 19881 22090 25380 26508 33135 39762 44180 59643 66270 79524 99405 103823 119286 132540 198810 207646 238572 298215 311469 397620 415292 519115 596430 622938 934407 1038230 1192860 1245876 1557345 1868814 2076460 2803221 3114690 3737628 4672035 5606442 6229380 9344070 11212884 14016105 18688140 28032210 56064420