Search a number
-
+
56560720 = 24519127293
BaseRepresentation
bin1101011111000…
…0110001010000
310221102120201111
43113300301100
5103434420340
65340143104
71254521026
oct327606120
9127376644
1056560720
1129a219a7
1216b37a94
13b9446a8
147724716
154e73aea
hex35f0c50

56560720 has 80 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 21192192.

The previous prime is 56560661. The next prime is 56560723. The reversal of 56560720 is 2706565.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56560723) 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, 192894 + ... + 193186.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 256560720 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 56560720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

56560720 is an abundant number, since it is smaller than the sum of its proper divisors (83430320).

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

56560720 is a wasteful number, since it uses less digits than its factorization.

56560720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 56560720 is about 7520.6861389105. The cubic root of 56560720 is about 383.8589253193.

The spelling of 56560720 in words is "fifty-six million, five hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 127 152 190 254 293 304 380 508 586 635 760 1016 1172 1270 1465 1520 2032 2344 2413 2540 2930 4688 4826 5080 5567 5860 9652 10160 11134 11720 12065 19304 22268 23440 24130 27835 37211 38608 44536 48260 55670 74422 89072 96520 111340 148844 186055 193040 222680 297688 372110 445360 595376 707009 744220 1414018 1488440 2828036 2976880 3535045 5656072 7070090 11312144 14140180 28280360 56560720