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20464032 = 253593613
BaseRepresentation
bin100111000010…
…0000110100000
31102111200101010
41032010012200
520214322112
62010340520
7335640621
oct116040640
942450333
1020464032
1110607a26
126a2a740
1343166c4
142a09a48
151be363c
hex13841a0

20464032 has 48 divisors (see below), whose sum is σ = 54643680. Its totient is φ = 6703872.

The previous prime is 20464027. The next prime is 20464057. The reversal of 20464032 is 23046402.

20464032 = T2128 + T2129 + ... + T2136.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3858 + ... + 7470.

It is an arithmetic number, because the mean of its divisors is an integer number (1138410).

Almost surely, 220464032 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 20464032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27321840).

20464032 is an abundant number, since it is smaller than the sum of its proper divisors (34179648).

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

20464032 is a wasteful number, since it uses less digits than its factorization.

20464032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 20464032 is about 4523.7188241534. The cubic root of 20464032 is about 273.5250264802.

The spelling of 20464032 in words is "twenty million, four hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 3613 5664 7226 10839 14452 21678 28904 43356 57808 86712 115616 173424 213167 346848 426334 639501 852668 1279002 1705336 2558004 3410672 5116008 6821344 10232016 20464032