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20932432 = 2429197229
BaseRepresentation
bin100111111011…
…0011101010000
31110101110220021
41033312131100
520324314212
62024353224
7342631333
oct117663520
943343807
1020932432
11108a7934
127015814
13444b971
142acc61a
151c87307
hex13f6750

20932432 has 40 divisors (see below), whose sum is σ = 42352200. Its totient is φ = 10010112.

The previous prime is 20932421. The next prime is 20932441. The reversal of 20932432 is 23423902.

It can be written as a sum of positive squares in 4 ways, for example, as 14561856 + 6370576 = 3816^2 + 2524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20932397 and 20932406.

It is a congruent number.

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, 91294 + ... + 91522.

It is an arithmetic number, because the mean of its divisors is an integer number (1058805).

Almost surely, 220932432 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 20932432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21176100).

20932432 is an abundant number, since it is smaller than the sum of its proper divisors (21419768).

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

20932432 is a wasteful number, since it uses less digits than its factorization.

20932432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 20932432 is about 4575.1974820766. The cubic root of 20932432 is about 275.5962029104.

The spelling of 20932432 in words is "twenty million, nine hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 197 229 232 394 458 464 788 916 1576 1832 3152 3664 5713 6641 11426 13282 22852 26564 45113 45704 53128 90226 91408 106256 180452 360904 721808 1308277 2616554 5233108 10466216 20932432