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21960396 = 223617443
BaseRepresentation
bin101001111000…
…1011011001100
31112022201000000
41103301123030
521110213041
62102404300
7354442323
oct123613314
945281000
1021960396
111143a197
127430690
13471b823
142cb90ba
151ddbbb6
hex14f16cc

21960396 has 84 divisors (see below), whose sum is σ = 61146792. Its totient is φ = 6873984.

The previous prime is 21960373. The next prime is 21960439. The reversal of 21960396 is 69306912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21960396.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 49351 + ... + 49793.

It is an arithmetic number, because the mean of its divisors is an integer number (727938).

Almost surely, 221960396 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 21960396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30573396).

21960396 is an abundant number, since it is smaller than the sum of its proper divisors (39186396).

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

21960396 is a wasteful number, since it uses less digits than its factorization.

21960396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 21960396 is about 4686.1920575239. The cubic root of 21960396 is about 280.0356927288.

The spelling of 21960396 in words is "twenty-one million, nine hundred sixty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 443 459 486 612 729 886 918 972 1329 1377 1458 1772 1836 2658 2754 2916 3987 4131 5316 5508 7531 7974 8262 11961 12393 15062 15948 16524 22593 23922 24786 30124 35883 45186 47844 49572 67779 71766 90372 107649 135558 143532 203337 215298 271116 322947 406674 430596 610011 645894 813348 1220022 1291788 1830033 2440044 3660066 5490099 7320132 10980198 21960396