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21831420 = 22351322153
BaseRepresentation
bin101001101000…
…1111011111100
31112002011002010
41103101323330
521042101140
62055531220
7353364312
oct123217374
945064063
1021831420
11113612a6
127389b10
1346a4c00
142c840b2
151db3880
hex14d1efc

21831420 has 72 divisors (see below), whose sum is σ = 66222576. Its totient is φ = 5371392.

The previous prime is 21831419. The next prime is 21831431. The reversal of 21831420 is 2413812.

It is a super-2 number, since 2×218314202 = 953221798432800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9064 + ... + 11216.

It is an arithmetic number, because the mean of its divisors is an integer number (919758).

Almost surely, 221831420 is an apocalyptic number.

21831420 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 21831420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33111288).

21831420 is an abundant number, since it is smaller than the sum of its proper divisors (44391156).

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

21831420 is a wasteful number, since it uses less digits than its factorization.

21831420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21831420 is about 4672.4105127867. The cubic root of 21831420 is about 279.4863883762.

The spelling of 21831420 in words is "twenty-one million, eight hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2153 2535 3380 4306 5070 6459 8612 10140 10765 12918 21530 25836 27989 32295 43060 55978 64590 83967 111956 129180 139945 167934 279890 335868 363857 419835 559780 727714 839670 1091571 1455428 1679340 1819285 2183142 3638570 4366284 5457855 7277140 10915710 21831420