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20431332 = 22331391361
BaseRepresentation
bin100110111110…
…0000111100100
31102110000112000
41031330013210
520212300312
62005525300
7335443365
oct115740744
942400460
1020431332
11105953a9
126a13830
13430485c
1429dbb6c
151bd8adc
hex137c1e4

20431332 has 48 divisors (see below), whose sum is σ = 53390400. Its totient is φ = 6756480.

The previous prime is 20431319. The next prime is 20431343. The reversal of 20431332 is 23313402.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 14332 + ... + 15692.

It is an arithmetic number, because the mean of its divisors is an integer number (1112300).

Almost surely, 220431332 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 20431332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26695200).

20431332 is an abundant number, since it is smaller than the sum of its proper divisors (32959068).

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

20431332 is a wasteful number, since it uses less digits than its factorization.

20431332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 20431332 is about 4520.1030961694. The cubic root of 20431332 is about 273.3792579322.

Adding to 20431332 its reverse (23313402), we get a palindrome (43744734).

It can be divided in two parts, 2043 and 1332, that added together give a cube (3375 = 153).

The spelling of 20431332 in words is "twenty million, four hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 834 1251 1361 1668 2502 2722 3753 4083 5004 5444 7506 8166 12249 15012 16332 24498 36747 48996 73494 146988 189179 378358 567537 756716 1135074 1702611 2270148 3405222 5107833 6810444 10215666 20431332