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20088144 = 2432139501
BaseRepresentation
bin100110010100…
…0010101010000
31101210120202100
41030220111100
520120310034
61554320400
7332514006
oct114502520
941716670
1020088144
111038057a
126889100
13421459b
14294ca76
151b6c099
hex1328550

20088144 has 30 divisors (see below), whose sum is σ = 56219306. Its totient is φ = 6696000.

The previous prime is 20088139. The next prime is 20088157. The reversal of 20088144 is 44188002.

It can be written as a sum of positive squares in only one way, i.e., 19713600 + 374544 = 4440^2 + 612^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69607 + ... + 69894.

Almost surely, 220088144 is an apocalyptic number.

20088144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20088144 is an abundant number, since it is smaller than the sum of its proper divisors (36131162).

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

20088144 is a wasteful number, since it uses less digits than its factorization.

20088144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139515 (or 139506 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 20088144 is about 4481.9799196337. The cubic root of 20088144 is about 271.8399433197.

The spelling of 20088144 in words is "twenty million, eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 139501 279002 418503 558004 837006 1116008 1255509 1674012 2232016 2511018 3348024 5022036 6696048 10044072 20088144