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20019132 = 22327174673
BaseRepresentation
bin100110001011…
…1011110111100
31101200002002100
41030113132330
520111103012
61553025100
7332105550
oct114273674
941602070
1020019132
1110333741
126855190
1341bc053
142931860
151b568dc
hex13177bc

20019132 has 72 divisors (see below), whose sum is σ = 61248096. Its totient is φ = 5382144.

The previous prime is 20019121. The next prime is 20019157. The reversal of 20019132 is 23191002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1948 + ... + 6620.

It is an arithmetic number, because the mean of its divisors is an integer number (850668).

Almost surely, 220019132 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 20019132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30624048).

20019132 is an abundant number, since it is smaller than the sum of its proper divisors (41228964).

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

20019132 is a wasteful number, since it uses less digits than its factorization.

20019132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 20019132 is about 4474.2744663241. The cubic root of 20019132 is about 271.5282878048.

The spelling of 20019132 in words is "twenty million, nineteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 4673 9346 14019 18692 28038 32711 42057 56076 65422 79441 84114 98133 130844 158882 168228 196266 238323 294399 317764 392532 476646 556087 588798 714969 953292 1112174 1177596 1429938 1668261 2224348 2859876 3336522 5004783 6673044 10009566 20019132