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56572120 = 235111967101
BaseRepresentation
bin1101011111001…
…1100011011000
310221110011100201
43113303203120
5103440301440
65340311544
71254566203
oct327634330
9127404321
1056572120
1129a2a520
1216b425b4
13b949937
14772893a
154e7719a
hex35f38d8

56572120 has 128 divisors (see below), whose sum is σ = 149817600. Its totient is φ = 19008000.

The previous prime is 56572097. The next prime is 56572163. The reversal of 56572120 is 2127565.

It is a super-2 number, since 2×565721202 = 6400809522588800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560070 + ... + 560170.

It is an arithmetic number, because the mean of its divisors is an integer number (1170450).

Almost surely, 256572120 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 56572120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74908800).

56572120 is an abundant number, since it is smaller than the sum of its proper divisors (93245480).

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

56572120 is a wasteful number, since it uses less digits than its factorization.

56572120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 56572120 is about 7521.4440102948. Note that the first 3 decimals coincide. The cubic root of 56572120 is about 383.8847129317.

Adding to 56572120 its reverse (2127565), we get a palindrome (58699685).

It can be divided in two parts, 5657 and 2120, that added together give a palindrome (7777).

The spelling of 56572120 in words is "fifty-six million, five hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 67 76 88 95 101 110 134 152 190 202 209 220 268 335 380 404 418 440 505 536 670 737 760 808 836 1010 1045 1111 1273 1340 1474 1672 1919 2020 2090 2222 2546 2680 2948 3685 3838 4040 4180 4444 5092 5555 5896 6365 6767 7370 7676 8360 8888 9595 10184 11110 12730 13534 14003 14740 15352 19190 21109 22220 25460 27068 28006 29480 33835 38380 42218 44440 50920 54136 56012 67670 70015 74437 76760 84436 105545 112024 128573 135340 140030 148874 168872 211090 257146 270680 280060 297748 372185 422180 514292 560120 595496 642865 744370 844360 1028584 1285730 1414303 1488740 2571460 2828606 2977480 5142920 5657212 7071515 11314424 14143030 28286060 56572120