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20493432 = 2333175581
BaseRepresentation
bin100111000101…
…1010001111000
31102120011201000
41032023101320
520221242212
62011125000
7336122421
oct116132170
942504630
1020493432
1110628023
126a43760
134326bbb
142a16648
151bec1dc
hex138b478

20493432 has 64 divisors (see below), whose sum is σ = 60285600. Its totient is φ = 6428160.

The previous prime is 20493427. The next prime is 20493433. The reversal of 20493432 is 23439402.

It is a happy number.

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 = 20493396 and 20493405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20493433) 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, 882 + ... + 6462.

Almost surely, 220493432 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 20493432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30142800).

20493432 is an abundant number, since it is smaller than the sum of its proper divisors (39792168).

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

20493432 is a wasteful number, since it uses less digits than its factorization.

20493432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 20493432 is about 4526.9671967002. The cubic root of 20493432 is about 273.6559519302.

It can be divided in two parts, 204 and 93432, that added together give a square (93636 = 3062).

The spelling of 20493432 in words is "twenty million, four hundred ninety-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 5581 11162 16743 22324 33486 44648 50229 66972 94877 100458 133944 150687 189754 200916 284631 301374 379508 401832 569262 602748 759016 853893 1138524 1205496 1707786 2277048 2561679 3415572 5123358 6831144 10246716 20493432