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20431872 = 21033739
BaseRepresentation
bin100110111110…
…0010000000000
31102110001021000
41031330100000
520212304442
62005532000
7335445066
oct115742000
942401230
1020431872
111059584a
126a14000
134304b86
1429dc036
151bd8d4c
hex137c400

20431872 has 88 divisors (see below), whose sum is σ = 60591200. Its totient is φ = 6801408.

The previous prime is 20431867. The next prime is 20431891. The reversal of 20431872 is 27813402.

It is a super-2 number, since 2×204318722 = 834922786848768, which contains 22 as substring.

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

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, 27279 + ... + 28017.

Almost surely, 220431872 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 20431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30295600).

20431872 is an abundant number, since it is smaller than the sum of its proper divisors (40159328).

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

20431872 is an equidigital number, since it uses as much as digits as its factorization.

20431872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20431872 is about 4520.1628289255. The cubic root of 20431872 is about 273.3816663818.

The spelling of 20431872 in words is "twenty million, four hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 739 768 864 1024 1152 1478 1536 1728 2217 2304 2956 3072 3456 4434 4608 5912 6651 6912 8868 9216 11824 13302 13824 17736 19953 23648 26604 27648 35472 39906 47296 53208 70944 79812 94592 106416 141888 159624 189184 212832 283776 319248 378368 425664 567552 638496 756736 851328 1135104 1276992 1702656 2270208 2553984 3405312 5107968 6810624 10215936 20431872