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20137056 = 253474463
BaseRepresentation
bin100110011010…
…0010001100000
31101220001211220
41030310101200
520123341211
61555335040
7333106422
oct114642140
941801756
1020137056
11104042a5
1268b1480
134230924
142962812
151b7b806
hex1334460

20137056 has 48 divisors (see below), whose sum is σ = 53996544. Its totient is φ = 6568064.

The previous prime is 20137043. The next prime is 20137057. The reversal of 20137056 is 65073102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20137057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2281 + ... + 6743.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 220137056 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 20137056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272).

20137056 is an abundant number, since it is smaller than the sum of its proper divisors (33859488).

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

20137056 is a wasteful number, since it uses less digits than its factorization.

20137056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 20137056 is about 4487.4331192788. The cubic root of 20137056 is about 272.0603960463.

The spelling of 20137056 in words is "twenty million, one hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4463 4512 8926 13389 17852 26778 35704 53556 71408 107112 142816 209761 214224 419522 428448 629283 839044 1258566 1678088 2517132 3356176 5034264 6712352 10068528 20137056