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21337038 = 2321989701
BaseRepresentation
bin101000101100…
…1001111001110
31111011000220200
41101121033032
520430241123
62041154330
7346235052
oct121311716
944130820
1021337038
1111053918
12718b9a6
134560b88
142b95c62
151d17143
hex14593ce

21337038 has 48 divisors (see below), whose sum is σ = 49280400. Its totient is φ = 6652800.

The previous prime is 21337037. The next prime is 21337061. The reversal of 21337038 is 83073312.

It is a super-2 number, since 2×213370382 = 910538381226888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21337037) 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 23 ways as a sum of consecutive naturals, for example, 30088 + ... + 30788.

It is an arithmetic number, because the mean of its divisors is an integer number (1026675).

Almost surely, 221337038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21337038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24640200).

21337038 is an abundant number, since it is smaller than the sum of its proper divisors (27943362).

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

21337038 is a wasteful number, since it uses less digits than its factorization.

21337038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 21337038 is about 4619.2031780384. The cubic root of 21337038 is about 277.3605630135.

The spelling of 21337038 in words is "twenty-one million, three hundred thirty-seven thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 89 114 171 178 267 342 534 701 801 1402 1602 1691 2103 3382 4206 5073 6309 10146 12618 13319 15219 26638 30438 39957 62389 79914 119871 124778 187167 239742 374334 561501 1123002 1185391 2370782 3556173 7112346 10668519 21337038