Search a number
-
+
21862980 = 2233540487
BaseRepresentation
bin101001101100…
…1101001000100
31112010202101000
41103121221010
521044103410
62100333300
7353555316
oct123315104
945122330
1021862980
1111382a87
1273a4230
1346b6399
142c917b6
151dbcdc0
hex14d9a44

21862980 has 48 divisors (see below), whose sum is σ = 68019840. Its totient is φ = 5829984.

The previous prime is 21862957. The next prime is 21862999. The reversal of 21862980 is 8926812.

21862980 is a `hidden beast` number, since 21 + 8 + 629 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19704 + ... + 20783.

It is an arithmetic number, because the mean of its divisors is an integer number (1417080).

Almost surely, 221862980 is an apocalyptic number.

21862980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21862980 is an abundant number, since it is smaller than the sum of its proper divisors (46156860).

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

21862980 is a wasteful number, since it uses less digits than its factorization.

21862980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40505 (or 40497 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 21862980 is about 4675.7865648466. The cubic root of 21862980 is about 279.6210008356.

The spelling of 21862980 in words is "twenty-one million, eight hundred sixty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 40487 80974 121461 161948 202435 242922 364383 404870 485844 607305 728766 809740 1093149 1214610 1457532 1821915 2186298 2429220 3643830 4372596 5465745 7287660 10931490 21862980