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20168352 = 253431251
BaseRepresentation
bin100110011101…
…1111010100000
31101221122210000
41030323322200
520130341402
62000140000
7333266601
oct114737240
941848700
1020168352
1110425866
126907600
134241c49
14296dda8
151b85c1c
hex133bea0

20168352 has 120 divisors (see below), whose sum is σ = 61471872. Its totient is φ = 6480000.

The previous prime is 20168347. The next prime is 20168359. The reversal of 20168352 is 25386102.

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

It is not an unprimeable number, because it can be changed into a prime (20168359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80227 + ... + 80477.

Almost surely, 220168352 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 20168352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30735936).

20168352 is an abundant number, since it is smaller than the sum of its proper divisors (41303520).

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

20168352 is a wasteful number, since it uses less digits than its factorization.

20168352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20168352 is about 4490.9188369419. The cubic root of 20168352 is about 272.2012639579.

The spelling of 20168352 in words is "twenty million, one hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 251 279 288 324 372 432 496 502 558 648 744 753 837 864 992 1004 1116 1296 1488 1506 1674 2008 2232 2259 2511 2592 2976 3012 3348 4016 4464 4518 5022 6024 6696 6777 7781 8032 8928 9036 10044 12048 13392 13554 15562 18072 20088 20331 23343 24096 26784 27108 31124 36144 40176 40662 46686 54216 62248 70029 72288 80352 81324 93372 108432 124496 140058 162648 186744 210087 216864 248992 280116 325296 373488 420174 560232 630261 650592 746976 840348 1120464 1260522 1680696 2240928 2521044 3361392 5042088 6722784 10084176 20168352