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21890652 = 2237259631
BaseRepresentation
bin101001110000…
…0011001011100
31112012011022220
41103200121130
521101000102
62101105340
7354032100
oct123403134
945164286
1021890652
11113a1853
1273b8250
1346c5b64
142c9b900
151dc61bc
hex14e065c

21890652 has 72 divisors (see below), whose sum is σ = 60520320. Its totient is φ = 6138720.

The previous prime is 21890651. The next prime is 21890677. The reversal of 21890652 is 25609812.

It is a super-3 number, since 3×218906523 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21890651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34377 + ... + 35007.

It is an arithmetic number, because the mean of its divisors is an integer number (840560).

Almost surely, 221890652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21890652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30260160).

21890652 is an abundant number, since it is smaller than the sum of its proper divisors (38629668).

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

21890652 is a wasteful number, since it uses less digits than its factorization.

21890652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 21890652 is about 4678.7447034434. The cubic root of 21890652 is about 279.7389233100.

The spelling of 21890652 in words is "twenty-one million, eight hundred ninety thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 588 631 708 826 1239 1262 1652 1893 2478 2524 2891 3786 4417 4956 5782 7572 8673 8834 11564 13251 17346 17668 26502 30919 34692 37229 53004 61838 74458 92757 111687 123676 148916 185514 223374 260603 371028 446748 521206 781809 1042412 1563618 1824221 3127236 3648442 5472663 7296884 10945326 21890652