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19889136 = 2432592341
BaseRepresentation
bin100101111011…
…1101111110000
31101102110202200
41023313233300
520042423021
61550143200
7331024551
oct113675760
941373680
1019889136
1110255003
1267b1b00
134174b27
1428da328
151b2d126
hex12f7bf0

19889136 has 60 divisors (see below), whose sum is σ = 56629560. Its totient is φ = 6514560.

The previous prime is 19889117. The next prime is 19889137. The reversal of 19889136 is 63198891.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 19889091 and 19889100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19889137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7326 + ... + 9666.

It is an arithmetic number, because the mean of its divisors is an integer number (943826).

Almost surely, 219889136 is an apocalyptic number.

19889136 is a gapful number since it is divisible by the number (16) 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 19889136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28314780).

19889136 is an abundant number, since it is smaller than the sum of its proper divisors (36740424).

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

19889136 is a wasteful number, since it uses less digits than its factorization.

19889136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2405 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 19889136 is about 4459.7237582613. The cubic root of 19889136 is about 270.9392800696.

The spelling of 19889136 in words is "nineteen million, eight hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2341 2832 4248 4682 7023 8496 9364 14046 18728 21069 28092 37456 42138 56184 84276 112368 138119 168552 276238 337104 414357 552476 828714 1104952 1243071 1657428 2209904 2486142 3314856 4972284 6629712 9944568 19889136