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56342520 = 23335134013
BaseRepresentation
bin1101011011101…
…1011111111000
310221000111102000
43112323133320
5103410430040
65331341000
71252621623
oct326733770
9127014360
1056342520
1129892a73
1216a51760
13b899290
1476a8dba
154e2e130
hex35bb7f8

56342520 has 128 divisors (see below), whose sum is σ = 202305600. Its totient is φ = 13865472.

The previous prime is 56342509. The next prime is 56342521. The reversal of 56342520 is 2524365.

56342520 is a `hidden beast` number, since 5 + 634 + 2 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56342521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12034 + ... + 16046.

Almost surely, 256342520 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 56342520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101152800).

56342520 is an abundant number, since it is smaller than the sum of its proper divisors (145963080).

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

56342520 is a wasteful number, since it uses less digits than its factorization.

56342520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 56342520 is about 7506.1654658021. The cubic root of 56342520 is about 383.3646720861.

Adding to 56342520 its reverse (2524365), we get a palindrome (58866885).

The spelling of 56342520 in words is "fifty-six million, three hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4013 4680 7020 8026 12039 14040 16052 20065 24078 32104 36117 40130 48156 52169 60195 72234 80260 96312 104338 108351 120390 144468 156507 160520 180585 208676 216702 240780 260845 288936 313014 361170 417352 433404 469521 481560 521690 541755 626028 722340 782535 866808 939042 1043380 1083510 1252056 1408563 1444680 1565070 1878084 2086760 2167020 2347605 2817126 3130140 3756168 4334040 4695210 5634252 6260280 7042815 9390420 11268504 14085630 18780840 28171260 56342520