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19716138 = 23213109773
BaseRepresentation
bin100101100110…
…1100000101010
31101002200110100
41023031200222
520021404023
61542330230
7326404311
oct113154052
941080410
1019716138
1110147032
126729976
134114170
142893278
151ae6c43
hex12cd82a

19716138 has 48 divisors (see below), whose sum is σ = 46486440. Its totient is φ = 6003072.

The previous prime is 19716113. The next prime is 19716173. The reversal of 19716138 is 83161791.

It can be written as a sum of positive squares in 4 ways, for example, as 10517049 + 9199089 = 3243^2 + 3033^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25120 + ... + 25892.

Almost surely, 219716138 is an apocalyptic number.

19716138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19716138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23243220).

19716138 is an abundant number, since it is smaller than the sum of its proper divisors (26770302).

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

19716138 is a wasteful number, since it uses less digits than its factorization.

19716138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 900 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 19716138 is about 4440.2858016123. The cubic root of 19716138 is about 270.1514376795.

The spelling of 19716138 in words is "nineteen million, seven hundred sixteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 109 117 218 234 327 654 773 981 1417 1546 1962 2319 2834 4251 4638 6957 8502 10049 12753 13914 20098 25506 30147 60294 84257 90441 168514 180882 252771 505542 758313 1095341 1516626 2190682 3286023 6572046 9858069 19716138