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20393632 = 257181503
BaseRepresentation
bin100110111001…
…0111010100000
31102101002210201
41031302322200
520210044012
62005034544
7335225440
oct115627240
942332721
1020393632
111056a046
1269b5a54
1342c064c
1429cc120
151bcc857
hex1372ea0

20393632 has 48 divisors (see below), whose sum is σ = 46230912. Its totient is φ = 8674560.

The previous prime is 20393603. The next prime is 20393651. The reversal of 20393632 is 23639302.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 20393632.

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, 40293 + ... + 40795.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 220393632 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 20393632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456).

20393632 is an abundant number, since it is smaller than the sum of its proper divisors (25837280).

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

20393632 is a wasteful number, since it uses less digits than its factorization.

20393632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The square root of 20393632 is about 4515.9309117833. The cubic root of 20393632 is about 273.2110074616.

It can be divided in two parts, 20393 and 632, that added together give a square (21025 = 1452).

The spelling of 20393632 in words is "twenty million, three hundred ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 181 224 362 503 724 1006 1267 1448 2012 2534 2896 3521 4024 5068 5792 7042 8048 10136 14084 16096 20272 28168 40544 56336 91043 112672 182086 364172 637301 728344 1274602 1456688 2549204 2913376 5098408 10196816 20393632