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20646624 = 253431499
BaseRepresentation
bin100111011000…
…0101011100000
31102211221211210
41032300223200
520241142444
62014310120
7340331145
oct116605340
942757753
1020646624
1110722129
126ab8340
13437b84b
142a563cc
151c2c7b9
hex13b0ae0

20646624 has 48 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 6852480.

The previous prime is 20646611. The next prime is 20646631. The reversal of 20646624 is 42664602.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 20646591 and 20646600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41127 + ... + 41625.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 220646624 is an apocalyptic number.

20646624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20646624 is an abundant number, since it is smaller than the sum of its proper divisors (33785376).

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

20646624 is a wasteful number, since it uses less digits than its factorization.

20646624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 20646624 is about 4543.8556315094. The cubic root of 20646624 is about 274.3361353240.

The spelling of 20646624 in words is "twenty million, six hundred forty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 431 499 862 998 1293 1497 1724 1996 2586 2994 3448 3992 5172 5988 6896 7984 10344 11976 13792 15968 20688 23952 41376 47904 215069 430138 645207 860276 1290414 1720552 2580828 3441104 5161656 6882208 10323312 20646624