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20166264 = 23321731619
BaseRepresentation
bin100110011101…
…1011001111000
31101221112220200
41030323121320
520130310024
62000122200
7333260526
oct114733170
941845820
1020166264
1110424238
126906360
134241001
14296d316
151b852c9
hex133b678

20166264 has 48 divisors (see below), whose sum is σ = 54966600. Its totient is φ = 6679104.

The previous prime is 20166247. The next prime is 20166287. The reversal of 20166264 is 46266102.

It is a happy number.

20166264 is a `hidden beast` number, since 20 + 16 + 626 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11647 + ... + 13265.

Almost surely, 220166264 is an apocalyptic number.

20166264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20166264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27483300).

20166264 is an abundant number, since it is smaller than the sum of its proper divisors (34800336).

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

20166264 is a wasteful number, since it uses less digits than its factorization.

20166264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20166264 is about 4490.6863617937. The cubic root of 20166264 is about 272.1918701008.

The spelling of 20166264 in words is "twenty million, one hundred sixty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1384 1557 1619 2076 3114 3238 4152 4857 6228 6476 9714 12456 12952 14571 19428 29142 38856 58284 116568 280087 560174 840261 1120348 1680522 2240696 2520783 3361044 5041566 6722088 10083132 20166264