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56920240 = 24513229239
BaseRepresentation
bin1101100100100…
…0100010110000
310222002211220001
43121020202300
5104032421430
65351555344
71260546136
oct331104260
9128084801
1056920240
112a148023
121708bb54
13ba3c220
1477b9756
154ee53ca
hex36488b0

56920240 has 80 divisors (see below), whose sum is σ = 143740800. Its totient is φ = 20837376.

The previous prime is 56920229. The next prime is 56920249. The reversal of 56920240 is 4202965.

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

It is a junction number, because it is equal to n+sod(n) for n = 56920199 and 56920208.

It is not an unprimeable number, because it can be changed into a prime (56920249) 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, 238041 + ... + 238279.

It is an arithmetic number, because the mean of its divisors is an integer number (1796760).

Almost surely, 256920240 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 56920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71870400).

56920240 is an abundant number, since it is smaller than the sum of its proper divisors (86820560).

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

56920240 is a wasteful number, since it uses less digits than its factorization.

56920240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 56920240 is about 7544.5503510812. The cubic root of 56920240 is about 384.6705226387.

The spelling of 56920240 in words is "fifty-six million, nine hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 229 239 260 458 478 520 916 956 1040 1145 1195 1832 1912 2290 2390 2977 3107 3664 3824 4580 4780 5954 6214 9160 9560 11908 12428 14885 15535 18320 19120 23816 24856 29770 31070 47632 49712 54731 59540 62140 109462 119080 124280 218924 238160 248560 273655 437848 547310 711503 875696 1094620 1423006 2189240 2846012 3557515 4378480 5692024 7115030 11384048 14230060 28460120 56920240