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21686920 = 2354631171
BaseRepresentation
bin101001010111…
…0101010001000
31111210210212021
41102232222020
521022440140
62052454224
7352223113
oct122565210
944723767
1021686920
1111272782
12731a374
1346541c8
142c4757a
151d85b4a
hex14aea88

21686920 has 32 divisors (see below), whose sum is σ = 48942720. Its totient is φ = 8648640.

The previous prime is 21686891. The next prime is 21686927. The reversal of 21686920 is 2968612.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21686927) 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, 17935 + ... + 19105.

It is an arithmetic number, because the mean of its divisors is an integer number (1529460).

Almost surely, 221686920 is an apocalyptic number.

21686920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21686920 is an abundant number, since it is smaller than the sum of its proper divisors (27255800).

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

21686920 is a wasteful number, since it uses less digits than its factorization.

21686920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 21686920 is about 4656.9217300702. The cubic root of 21686920 is about 278.8683919994.

The spelling of 21686920 in words is "twenty-one million, six hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 463 926 1171 1852 2315 2342 3704 4630 4684 5855 9260 9368 11710 18520 23420 46840 542173 1084346 2168692 2710865 4337384 5421730 10843460 21686920