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21965034 = 237313821
BaseRepresentation
bin101001111001…
…0100011101010
31112022221100210
41103302203222
521110340114
62102441550
7354462000
oct123624352
945287323
1021965034
1111442723
1274332b6
134720980
142cbaa70
151ddd259
hex14f28ea

21965034 has 64 divisors (see below), whose sum is σ = 55238400. Its totient is φ = 5785920.

The previous prime is 21965033. The next prime is 21965039. The reversal of 21965034 is 43056912.

It is a junction number, because it is equal to n+sod(n) for n = 21964992 and 21965010.

It is not an unprimeable number, because it can be changed into a prime (21965033) 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 31 ways as a sum of consecutive naturals, for example, 26344 + ... + 27164.

It is an arithmetic number, because the mean of its divisors is an integer number (863100).

Almost surely, 221965034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21965034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27619200).

21965034 is an abundant number, since it is smaller than the sum of its proper divisors (33273366).

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

21965034 is a wasteful number, since it uses less digits than its factorization.

21965034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 21965034 is about 4686.6868894775. The cubic root of 21965034 is about 280.0554057024.

The spelling of 21965034 in words is "twenty-one million, nine hundred sixty-five thousand, thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 546 637 686 821 1029 1274 1642 1911 2058 2463 3822 4459 4926 5747 8918 10673 11494 13377 17241 21346 26754 32019 34482 40229 64038 74711 80458 120687 149422 224133 241374 281603 448266 522977 563206 844809 1045954 1568931 1689618 3137862 3660839 7321678 10982517 21965034