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56360320 = 275831061
BaseRepresentation
bin1101011011111…
…1110110000000
310221001101211021
43112333312000
5103412012240
65331555224
71253024542
oct326776600
9127041737
1056360320
11298a5385
1216a5bb14
13b8a4403
1476b1692
154e3454a
hex35bfd80

56360320 has 64 divisors (see below), whose sum is σ = 136488240. Its totient is φ = 22251520.

The previous prime is 56360309. The next prime is 56360341. The reversal of 56360320 is 2306365.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52590 + ... + 53650.

Almost surely, 256360320 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 56360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68244120).

56360320 is an abundant number, since it is smaller than the sum of its proper divisors (80127920).

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

56360320 is a wasteful number, since it uses less digits than its factorization.

56360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 56360320 is about 7507.3510641237. The cubic root of 56360320 is about 383.4050393059.

Adding to 56360320 its reverse (2306365), we get a palindrome (58666685).

The spelling of 56360320 in words is "fifty-six million, three hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 320 332 415 640 664 830 1061 1328 1660 2122 2656 3320 4244 5305 5312 6640 8488 10610 10624 13280 16976 21220 26560 33952 42440 53120 67904 84880 88063 135808 169760 176126 339520 352252 440315 679040 704504 880630 1409008 1761260 2818016 3522520 5636032 7045040 11272064 14090080 28180160 56360320