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20961918 = 23217611123
BaseRepresentation
bin100111111110…
…1101001111110
31110102222100100
41033331221332
520331240133
62025141530
7343113315
oct117755176
943388310
1020961918
1110917aaa
12702a8a6
13445c203
142ad927c
151c90e13
hex13fda7e

20961918 has 48 divisors (see below), whose sum is σ = 48920976. Its totient is φ = 6462720.

The previous prime is 20961911. The next prime is 20961929. The reversal of 20961918 is 81916902.

20961918 is a `hidden beast` number, since 20 + 9 + 619 + 18 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20961911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18105 + ... + 19227.

It is an arithmetic number, because the mean of its divisors is an integer number (1019187).

Almost surely, 220961918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20961918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24460488).

20961918 is an abundant number, since it is smaller than the sum of its proper divisors (27959058).

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

20961918 is a wasteful number, since it uses less digits than its factorization.

20961918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 20961918 is about 4578.4187226596. The cubic root of 20961918 is about 275.7255463301.

The spelling of 20961918 in words is "twenty million, nine hundred sixty-one thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 1123 2074 2246 3111 3369 6222 6738 9333 10107 18666 19091 20214 38182 57273 68503 114546 137006 171819 205509 343638 411018 616527 1164551 1233054 2329102 3493653 6987306 10480959 20961918