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21990720 = 263522907
BaseRepresentation
bin101001111100…
…0110101000000
31112101020121010
41103320311000
521112200340
62103200520
7354626613
oct123706500
945336533
1021990720
111145aa54
127446140
13472c57b
142cc617a
151de5b80
hex14f8d40

21990720 has 56 divisors (see below), whose sum is σ = 69823584. Its totient is φ = 5863936.

The previous prime is 21990713. The next prime is 21990721. The reversal of 21990720 is 2709912.

It is a super-2 number, since 2×219907202 = 967183532236800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21990721) 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 7 ways as a sum of consecutive naturals, for example, 10494 + ... + 12413.

Almost surely, 221990720 is an apocalyptic number.

21990720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21990720 is an abundant number, since it is smaller than the sum of its proper divisors (47832864).

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

21990720 is a wasteful number, since it uses less digits than its factorization.

21990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22927 (or 22917 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 21990720 is about 4689.4264041565. The cubic root of 21990720 is about 280.1645291534.

The spelling of 21990720 in words is "twenty-one million, nine hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 22907 45814 68721 91628 114535 137442 183256 229070 274884 343605 366512 458140 549768 687210 733024 916280 1099536 1374420 1466048 1832560 2199072 2748840 3665120 4398144 5497680 7330240 10995360 21990720