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20431764 = 2234193319
BaseRepresentation
bin100110111110…
…0001110010100
31102110001010000
41031330032110
520212304024
62005531300
7335444553
oct115741624
942401100
1020431764
1110595761
126a13b30
134304b02
1429dbd9a
151bd8cc9
hex137c394

20431764 has 60 divisors (see below), whose sum is σ = 56240800. Its totient is φ = 6450192.

The previous prime is 20431753. The next prime is 20431777. The reversal of 20431764 is 46713402.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4497 + ... + 7815.

Almost surely, 220431764 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 20431764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28120400).

20431764 is an abundant number, since it is smaller than the sum of its proper divisors (35809036).

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

20431764 is a wasteful number, since it uses less digits than its factorization.

20431764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20431764 is about 4520.1508824374. The cubic root of 20431764 is about 273.3811846953.

The spelling of 20431764 in words is "twenty million, four hundred thirty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 3319 6156 6638 9957 13276 19914 29871 39828 59742 63061 89613 119484 126122 179226 189183 252244 268839 358452 378366 537678 567549 756732 1075356 1135098 1702647 2270196 3405294 5107941 6810588 10215882 20431764