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56390320 = 2457101997
BaseRepresentation
bin1101011100011…
…1001010110000
310221002220222101
43113013022300
5103413442240
65332350144
71253211160
oct327071260
9127086871
1056390320
1129915978
1216a75354
13b8b4c6c
1476bc5a0
154e3d39a
hex35c72b0

56390320 has 80 divisors (see below), whose sum is σ = 151472448. Its totient is φ = 19123200.

The previous prime is 56390303. The next prime is 56390353. The reversal of 56390320 is 2309365.

56390320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56062 + ... + 57058.

Almost surely, 256390320 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 56390320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75736224).

56390320 is an abundant number, since it is smaller than the sum of its proper divisors (95082128).

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

56390320 is a wasteful number, since it uses less digits than its factorization.

56390320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 56390320 is about 7509.3488399461. The cubic root of 56390320 is about 383.4730547168.

Adding to 56390320 its reverse (2309365), we get a palindrome (58699685).

The spelling of 56390320 in words is "fifty-six million, three hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 101 112 140 202 280 404 505 560 707 808 997 1010 1414 1616 1994 2020 2828 3535 3988 4040 4985 5656 6979 7070 7976 8080 9970 11312 13958 14140 15952 19940 27916 28280 34895 39880 55832 56560 69790 79760 100697 111664 139580 201394 279160 402788 503485 558320 704879 805576 1006970 1409758 1611152 2013940 2819516 3524395 4027880 5639032 7048790 8055760 11278064 14097580 28195160 56390320