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56121520 = 2457132593
BaseRepresentation
bin1101011000010…
…1100010110000
310220121021020211
43112011202300
5103331342040
65322513504
71251011410
oct326054260
9126537224
1056121520
1129751a24
1216965894
13b81c800
14764c640
154dd88ea
hex35858b0

56121520 has 120 divisors (see below), whose sum is σ = 161748576. Its totient is φ = 17731584.

The previous prime is 56121511. The next prime is 56121523. The reversal of 56121520 is 2512165.

It is a super-2 number, since 2×561215202 = 6299250014220800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56121491 and 56121500.

It is not an unprimeable number, because it can be changed into a prime (56121523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94344 + ... + 94936.

Almost surely, 256121520 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 56121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80874288).

56121520 is an abundant number, since it is smaller than the sum of its proper divisors (105627056).

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

56121520 is a wasteful number, since it uses less digits than its factorization.

56121520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 56121520 is about 7491.4297700773. The cubic root of 56121520 is about 382.8627739999.

Adding to 56121520 its reverse (2512165), we get a palindrome (58633685).

The spelling of 56121520 in words is "fifty-six million, one hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 169 182 208 260 280 338 364 455 520 560 593 676 728 845 910 1040 1183 1186 1352 1456 1690 1820 2366 2372 2704 2965 3380 3640 4151 4732 4744 5915 5930 6760 7280 7709 8302 9464 9488 11830 11860 13520 15418 16604 18928 20755 23660 23720 30836 33208 38545 41510 47320 47440 53963 61672 66416 77090 83020 94640 100217 107926 123344 154180 166040 200434 215852 269815 308360 332080 400868 431704 501085 539630 616720 701519 801736 863408 1002170 1079260 1403038 1603472 2004340 2158520 2806076 3507595 4008680 4317040 5612152 7015190 8017360 11224304 14030380 28060760 56121520