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21891400 = 2352234759
BaseRepresentation
bin101001110000…
…0100101001000
31112012012100121
41103200211020
521101011100
62101113024
7354034216
oct123404510
945165317
1021891400
11113a2373
1273b8774
1346c62bb
142c9bcb6
151dc651a
hex14e0948

21891400 has 48 divisors (see below), whose sum is σ = 53121600. Its totient is φ = 8374080.

The previous prime is 21891391. The next prime is 21891413. The reversal of 21891400 is 419812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2221 + ... + 6979.

It is an arithmetic number, because the mean of its divisors is an integer number (1106700).

Almost surely, 221891400 is an apocalyptic number.

21891400 is a gapful number since it is divisible by the number (20) 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 21891400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560800).

21891400 is an abundant number, since it is smaller than the sum of its proper divisors (31230200).

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

21891400 is a wasteful number, since it uses less digits than its factorization.

21891400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 21891400 is about 4678.8246387314. The cubic root of 21891400 is about 279.7421094848.

The spelling of 21891400 in words is "twenty-one million, eight hundred ninety-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 4759 9518 19036 23795 38072 47590 95180 109457 118975 190360 218914 237950 437828 475900 547285 875656 951800 1094570 2189140 2736425 4378280 5472850 10945700 21891400