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20633984 = 27723029
BaseRepresentation
bin100111010110…
…1100110000000
31102211022111122
41032231212000
520240241414
62014131412
7340246250
oct116554600
942738448
1020633984
1110713688
126ab0b68
134375b77
142a51960
151c28b8e
hex13ad980

20633984 has 32 divisors (see below), whose sum is σ = 46981200. Its totient is φ = 8842752.

The previous prime is 20633983. The next prime is 20634001. The reversal of 20633984 is 48933602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×206339842 = 851522591424512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20633983) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10619 + ... + 12410.

Almost surely, 220633984 is an apocalyptic number.

It is an amenable number.

20633984 is an abundant number, since it is smaller than the sum of its proper divisors (26347216).

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

20633984 is an equidigital number, since it uses as much as digits as its factorization.

20633984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23050 (or 23038 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 20633984 is about 4542.4645293056. The cubic root of 20633984 is about 274.2801404291.

The spelling of 20633984 in words is "twenty million, six hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 23029 46058 92116 161203 184232 322406 368464 644812 736928 1289624 1473856 2579248 2947712 5158496 10316992 20633984