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20412324 = 22342512
BaseRepresentation
bin100110111011…
…1011110100100
31102102001110000
41031313132210
520211143244
62005301300
7335334102
oct115673644
942361400
1020412324
1110582099
126a04830
1342c8cca
1429d4c72
151bd3169
hex13777a4

20412324 has 45 divisors (see below), whose sum is σ = 53575291. Its totient is φ = 6777000.

The previous prime is 20412319. The next prime is 20412349. The reversal of 20412324 is 42321402.

The square root of 20412324 is 4518.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20412297 and 20412306.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 81199 + ... + 81449.

Almost surely, 220412324 is an apocalyptic number.

20412324 is the 4518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20412324

20412324 is an abundant number, since it is smaller than the sum of its proper divisors (33162967).

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

20412324 is an equidigital number, since it uses as much as digits as its factorization.

20412324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The cubic root of 20412324 is about 273.2944534559.

Adding to 20412324 its reverse (42321402), we get a palindrome (62733726).

It can be divided in two parts, 20412 and 324, that added together give a 4-th power (20736 = 124).

The spelling of 20412324 in words is "twenty million, four hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 251 324 502 753 1004 1506 2259 3012 4518 6777 9036 13554 20331 27108 40662 63001 81324 126002 189003 252004 378006 567009 756012 1134018 1701027 2268036 3402054 5103081 6804108 10206162 20412324