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19912032 = 2532721783
BaseRepresentation
bin100101111110…
…1010101100000
31101110122011200
41023331111200
520044141112
61550441200
7331151400
oct113752540
941418150
1019912032
1110270228
126803200
13418238a
142904800
151b34cdc
hex12fd560

19912032 has 216 divisors, whose sum is σ = 70584696. Its totient is φ = 5289984.

The previous prime is 19912027. The next prime is 19912033. The reversal of 19912032 is 23021991.

It is a junction number, because it is equal to n+sod(n) for n = 19911987 and 19912005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19912033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239863 + ... + 239945.

It is an arithmetic number, because the mean of its divisors is an integer number (326781).

Almost surely, 219912032 is an apocalyptic number.

19912032 is a gapful number since it is divisible by the number (12) 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 19912032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35292348).

19912032 is an abundant number, since it is smaller than the sum of its proper divisors (50672664).

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

19912032 is a wasteful number, since it uses less digits than its factorization.

19912032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 19912032 is about 4462.2899950586. The cubic root of 19912032 is about 271.0432069379.

The spelling of 19912032 in words is "nineteen million, nine hundred twelve thousand, thirty-two".