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21517980 = 22351132603
BaseRepresentation
bin101001000010…
…1011010011100
31111111020010020
41102011122130
521002033410
62045112140
7350620431
oct122053234
944436106
1021517980
1111167860
127258650
1345c5343
142c01b88
151d50a70
hex148569c

21517980 has 48 divisors (see below), whose sum is σ = 65729664. Its totient is φ = 5216320.

The previous prime is 21517973. The next prime is 21518009. The reversal of 21517980 is 8971512.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 15642 + ... + 16961.

It is an arithmetic number, because the mean of its divisors is an integer number (1369368).

Almost surely, 221517980 is an apocalyptic number.

21517980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21517980 is an abundant number, since it is smaller than the sum of its proper divisors (44211684).

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

21517980 is a wasteful number, since it uses less digits than its factorization.

21517980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32626 (or 32624 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 21517980 is about 4638.7476758280. The cubic root of 21517980 is about 278.1423800106.

The spelling of 21517980 in words is "twenty-one million, five hundred seventeen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 32603 65206 97809 130412 163015 195618 326030 358633 391236 489045 652060 717266 978090 1075899 1434532 1793165 1956180 2151798 3586330 4303596 5379495 7172660 10758990 21517980