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56209120 = 25511109293
BaseRepresentation
bin1101011001101…
…0111011100000
310220202201102021
43112122323200
5103342142440
65324431224
71251524662
oct326327340
9126681367
1056209120
1129801820
12169a8514
13b850646
147672532
154e0484a
hex359aee0

56209120 has 96 divisors (see below), whose sum is σ = 146694240. Its totient is φ = 20183040.

The previous prime is 56209103. The next prime is 56209129. The reversal of 56209120 is 2190265.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56209129) 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, 191694 + ... + 191986.

It is an arithmetic number, because the mean of its divisors is an integer number (1528065).

Almost surely, 256209120 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 56209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73347120).

56209120 is an abundant number, since it is smaller than the sum of its proper divisors (90485120).

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

56209120 is a wasteful number, since it uses less digits than its factorization.

56209120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 56209120 is about 7497.2741713239. The cubic root of 56209120 is about 383.0618737623.

Adding to 56209120 its reverse (2190265), we get a palindrome (58399385).

The spelling of 56209120 in words is "fifty-six million, two hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 109 110 160 176 218 220 293 352 436 440 545 586 872 880 1090 1172 1199 1465 1744 1760 2180 2344 2398 2930 3223 3488 4360 4688 4796 5860 5995 6446 8720 9376 9592 11720 11990 12892 16115 17440 19184 23440 23980 25784 31937 32230 38368 46880 47960 51568 63874 64460 95920 103136 127748 128920 159685 191840 255496 257840 319370 351307 510992 515680 638740 702614 1021984 1277480 1405228 1756535 2554960 2810456 3513070 5109920 5620912 7026140 11241824 14052280 28104560 56209120