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56220640 = 2557271101
BaseRepresentation
bin1101011001110…
…1101111100000
310220210022012221
43112131233200
5103343030030
65325000424
71251603400
oct326355740
9126708187
1056220640
112980a443
12169b3114
13b855968
147676800
154e07e7a
hex359dbe0

56220640 has 144 divisors (see below), whose sum is σ = 158233824. Its totient is φ = 18816000.

The previous prime is 56220623. The next prime is 56220643. The reversal of 56220640 is 4602265.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56220643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556590 + ... + 556690.

It is an arithmetic number, because the mean of its divisors is an integer number (1098846).

Almost surely, 256220640 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 56220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79116912).

56220640 is an abundant number, since it is smaller than the sum of its proper divisors (102013184).

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

56220640 is a wasteful number, since it uses less digits than its factorization.

56220640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 56220640 is about 7498.0424111897. The cubic root of 56220640 is about 383.0880413507.

The spelling of 56220640 in words is "fifty-six million, two hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 71 80 98 101 112 140 142 160 196 202 224 245 280 284 355 392 404 490 497 505 560 568 707 710 784 808 980 994 1010 1120 1136 1414 1420 1568 1616 1960 1988 2020 2272 2485 2828 2840 3232 3479 3535 3920 3976 4040 4949 4970 5656 5680 6958 7070 7171 7840 7952 8080 9898 9940 11312 11360 13916 14140 14342 15904 16160 17395 19796 19880 22624 24745 27832 28280 28684 34790 35855 39592 39760 49490 50197 55664 56560 57368 69580 71710 79184 79520 98980 100394 111328 113120 114736 139160 143420 158368 197960 200788 229472 250985 278320 286840 351379 395920 401576 501970 556640 573680 702758 791840 803152 1003940 1147360 1405516 1606304 1756895 2007880 2811032 3513790 4015760 5622064 7027580 8031520 11244128 14055160 28110320 56220640