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21680700 = 2235272269
BaseRepresentation
bin101001010110…
…1001000111100
31111210111022220
41102231020330
521022240300
62052405340
7352166016
oct122551074
944714286
1021680700
1111269038
127316850
134651422
142c451b6
151d83da0
hex14ad23c

21680700 has 36 divisors (see below), whose sum is σ = 62730360. Its totient is φ = 5781440.

The previous prime is 21680699. The next prime is 21680707. The reversal of 21680700 is 708612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21680707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35835 + ... + 36434.

It is an arithmetic number, because the mean of its divisors is an integer number (1742510).

Almost surely, 221680700 is an apocalyptic number.

21680700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21680700 is an abundant number, since it is smaller than the sum of its proper divisors (41049660).

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

21680700 is a wasteful number, since it uses less digits than its factorization.

21680700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72286 (or 72279 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 21680700 is about 4656.2538590588. The cubic root of 21680700 is about 278.8417288118.

The spelling of 21680700 in words is "twenty-one million, six hundred eighty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 72269 144538 216807 289076 361345 433614 722690 867228 1084035 1445380 1806725 2168070 3613450 4336140 5420175 7226900 10840350 21680700