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21401900 = 225213101163
BaseRepresentation
bin101000110100…
…1000100101100
31111021022212222
41101221010230
520434330100
62042414512
7346625132
oct121510454
944238788
1021401900
1111098623
127201438
134584560
142bb1752
151d2b485
hex146912c

21401900 has 72 divisors (see below), whose sum is σ = 50819664. Its totient is φ = 7776000.

The previous prime is 21401881. The next prime is 21401903. The reversal of 21401900 is 910412.

It is a happy number.

It is a super-2 number, since 2×214019002 = 916082647220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21401903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131219 + ... + 131381.

Almost surely, 221401900 is an apocalyptic number.

21401900 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 21401900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25409832).

21401900 is an abundant number, since it is smaller than the sum of its proper divisors (29417764).

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

21401900 is a wasteful number, since it uses less digits than its factorization.

21401900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 21401900 is about 4626.2187583382. The cubic root of 21401900 is about 277.6413261676.

The spelling of 21401900 in words is "twenty-one million, four hundred one thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 130 163 202 260 325 326 404 505 650 652 815 1010 1300 1313 1630 2020 2119 2525 2626 3260 4075 4238 5050 5252 6565 8150 8476 10100 10595 13130 16300 16463 21190 26260 32825 32926 42380 52975 65650 65852 82315 105950 131300 164630 211900 214019 329260 411575 428038 823150 856076 1070095 1646300 2140190 4280380 5350475 10700950 21401900