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19920966 = 23131272011
BaseRepresentation
bin100101111111…
…1100001000110
31101111002102120
41023333201012
520044432331
61550550410
7331216422
oct113774106
941432376
1019920966
1110276a0a
126808406
134186470
142907b82
151b37796
hex12ff846

19920966 has 32 divisors (see below), whose sum is σ = 43266048. Its totient is φ = 6078240.

The previous prime is 19920947. The next prime is 19920973. The reversal of 19920966 is 66902991.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8901 + ... + 10911.

It is an arithmetic number, because the mean of its divisors is an integer number (1352064).

Almost surely, 219920966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19920966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21633024).

19920966 is an abundant number, since it is smaller than the sum of its proper divisors (23345082).

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

19920966 is a wasteful number, since it uses less digits than its factorization.

19920966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156.

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 19920966 is about 4463.2909383100. The cubic root of 19920966 is about 271.0837375067.

The spelling of 19920966 in words is "nineteen million, nine hundred twenty thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 127 254 381 762 1651 2011 3302 4022 4953 6033 9906 12066 26143 52286 78429 156858 255397 510794 766191 1532382 3320161 6640322 9960483 19920966