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11916496 = 241939199
BaseRepresentation
bin101101011101…
…010011010000
3211102102100201
4231131103100
511022311441
61103224544
7203200654
oct55352320
924372321
1011916496
1167aa049
123ba8154
132612ca7
141822a64
1510a5c31
hexb5d4d0

11916496 has 20 divisors (see below), whose sum is σ = 24304000. Its totient is φ = 5644512.

The previous prime is 11916491. The next prime is 11916503. The reversal of 11916496 is 69461911.

11916496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11916491) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19296 + ... + 19903.

It is an arithmetic number, because the mean of its divisors is an integer number (1215200).

Almost surely, 211916496 is an apocalyptic number.

11916496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11916496 is an abundant number, since it is smaller than the sum of its proper divisors (12387504).

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

11916496 is a wasteful number, since it uses less digits than its factorization.

11916496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39226 (or 39220 counting only the distinct ones).

The product of its digits is 11664, while the sum is 37.

The square root of 11916496 is about 3452.0278098532. The cubic root of 11916496 is about 228.4105662804.

The spelling of 11916496 in words is "eleven million, nine hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 39199 78398 156796 313592 627184 744781 1489562 2979124 5958248 11916496