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20317932 = 22331791051
BaseRepresentation
bin100110110000…
…0011011101100
31102020020222000
41031200123230
520200133212
62003252300
7334461645
oct115403354
942206860
1020317932
1110518188
12697a090
13429505b
1429ac6cc
151bb51dc
hex13606ec

20317932 has 48 divisors (see below), whose sum is σ = 53020800. Its totient is φ = 6728400.

The previous prime is 20317903. The next prime is 20317937. The reversal of 20317932 is 23971302.

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

It is a junction number, because it is equal to n+sod(n) for n = 20317896 and 20317905.

It is not an unprimeable number, because it can be changed into a prime (20317937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18807 + ... + 19857.

It is an arithmetic number, because the mean of its divisors is an integer number (1104600).

Almost surely, 220317932 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 20317932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26510400).

20317932 is an abundant number, since it is smaller than the sum of its proper divisors (32702868).

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

20317932 is a wasteful number, since it uses less digits than its factorization.

20317932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 20317932 is about 4507.5416803397. The cubic root of 20317932 is about 272.8725404279.

The spelling of 20317932 in words is "twenty million, three hundred seventeen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 179 358 537 716 1051 1074 1611 2102 2148 3153 3222 4204 4833 6306 6444 9459 9666 12612 18918 19332 28377 37836 56754 113508 188129 376258 564387 752516 1128774 1693161 2257548 3386322 5079483 6772644 10158966 20317932