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21850840 = 2351153937
BaseRepresentation
bin101001101011…
…0101011011000
31112010010201101
41103112223120
521043211330
62100201144
7353505034
oct123265330
945103641
1021850840
1111374950
1273991b4
1346b09bb
142c8b1c4
151db94ca
hex14d6ad8

21850840 has 64 divisors (see below), whose sum is σ = 54704160. Its totient is φ = 7787520.

The previous prime is 21850819. The next prime is 21850849. The reversal of 21850840 is 4805812.

It is a junction number, because it is equal to n+sod(n) for n = 21850799 and 21850808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21850849) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22852 + ... + 23788.

Almost surely, 221850840 is an apocalyptic number.

21850840 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 21850840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27352080).

21850840 is an abundant number, since it is smaller than the sum of its proper divisors (32853320).

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

21850840 is a wasteful number, since it uses less digits than its factorization.

21850840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 21850840 is about 4674.4882072800. The cubic root of 21850840 is about 279.5692355920.

The spelling of 21850840 in words is "twenty-one million, eight hundred fifty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 937 1060 1166 1874 2120 2332 2915 3748 4664 4685 5830 7496 9370 10307 11660 18740 20614 23320 37480 41228 49661 51535 82456 99322 103070 198644 206140 248305 397288 412280 496610 546271 993220 1092542 1986440 2185084 2731355 4370168 5462710 10925420 21850840