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20056032 = 2533139167
BaseRepresentation
bin100110010000…
…0011111100000
31101201221201000
41030200133200
520113243112
61553512000
7332321253
oct114403740
941657630
1020056032
1110359437
126872600
134202a99
14294109a
151b627dc
hex13207e0

20056032 has 96 divisors (see below), whose sum is σ = 59270400. Its totient is φ = 6597504.

The previous prime is 20056027. The next prime is 20056087. The reversal of 20056032 is 23065002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20055996 and 20056014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120013 + ... + 120179.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 220056032 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 20056032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200).

20056032 is an abundant number, since it is smaller than the sum of its proper divisors (39214368).

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

20056032 is a wasteful number, since it uses less digits than its factorization.

20056032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20056032 is about 4478.3961414774. The cubic root of 20056032 is about 271.6950157142.

The spelling of 20056032 in words is "twenty million, fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 139 144 167 216 278 288 334 417 432 501 556 668 834 864 1002 1112 1251 1336 1503 1668 2004 2224 2502 2672 3006 3336 3753 4008 4448 4509 5004 5344 6012 6672 7506 8016 9018 10008 12024 13344 15012 16032 18036 20016 23213 24048 30024 36072 40032 46426 48096 60048 69639 72144 92852 120096 139278 144288 185704 208917 278556 371408 417834 557112 626751 742816 835668 1114224 1253502 1671336 2228448 2507004 3342672 5014008 6685344 10028016 20056032