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21874104 = 23337172337
BaseRepresentation
bin101001101110…
…0010110111000
31112011022122000
41103130112320
521044432404
62100501000
7353632620
oct123342670
945138560
1021874104
111139037a
1273aa760
1346bb475
142c95880
151dc1339
hex14dc5b8

21874104 has 256 divisors, whose sum is σ = 78796800. Its totient is φ = 5474304.

The previous prime is 21874079. The next prime is 21874123. The reversal of 21874104 is 40147812.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 591174 + ... + 591210.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 221874104 is an apocalyptic number.

21874104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21874104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39398400).

21874104 is an abundant number, since it is smaller than the sum of its proper divisors (56922696).

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

21874104 is a wasteful number, since it uses less digits than its factorization.

21874104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 21874104 is about 4676.9759460575. The cubic root of 21874104 is about 279.6684170100.

The spelling of 21874104 in words is "twenty-one million, eight hundred seventy-four thousand, one hundred four".