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56107520 = 295731101
BaseRepresentation
bin1101011000001…
…0001000000000
310220120120001022
43112002020000
5103330420040
65322325012
71250622530
oct326021000
9126516038
1056107520
1129742457
1216959768
13b816321
1476474c0
154dd46b5
hex3582200

56107520 has 160 divisors (see below), whose sum is σ = 160275456. Its totient is φ = 18432000.

The previous prime is 56107507. The next prime is 56107529. The reversal of 56107520 is 2570165.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 56107520.

It is not an unprimeable number, because it can be changed into a prime (56107529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555470 + ... + 555570.

Almost surely, 256107520 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 56107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80137728).

56107520 is an abundant number, since it is smaller than the sum of its proper divisors (104167936).

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

56107520 is a wasteful number, since it uses less digits than its factorization.

56107520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 56107520 is about 7490.4953107255. The cubic root of 56107520 is about 382.8309352055.

Adding to 56107520 its reverse (2570165), we get a palindrome (58677685).

The spelling of 56107520 in words is "fifty-six million, one hundred seven thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 101 112 124 128 140 155 160 202 217 224 248 256 280 310 320 404 434 448 496 505 512 560 620 640 707 808 868 896 992 1010 1085 1120 1240 1280 1414 1616 1736 1792 1984 2020 2170 2240 2480 2560 2828 3131 3232 3472 3535 3584 3968 4040 4340 4480 4960 5656 6262 6464 6944 7070 7936 8080 8680 8960 9920 11312 12524 12928 13888 14140 15655 15872 16160 17360 17920 19840 21917 22624 25048 25856 27776 28280 31310 32320 34720 39680 43834 45248 50096 51712 55552 56560 62620 64640 69440 79360 87668 90496 100192 109585 111104 113120 125240 129280 138880 175336 180992 200384 219170 226240 250480 258560 277760 350672 361984 400768 438340 452480 500960 555520 701344 801536 876680 904960 1001920 1402688 1603072 1753360 1809920 2003840 2805376 3506720 4007680 5610752 7013440 8015360 11221504 14026880 28053760 56107520