Search a number
-
+
11957816 = 2313313709
BaseRepresentation
bin101101100111…
…011000111000
3211111112001002
4231213120320
511030122231
61104144132
7203432303
oct55473070
924445032
1011957816
1168280a2
124008048
132628a40
141833b3a
1510b30cb
hexb67638

11957816 has 32 divisors (see below), whose sum is σ = 24931200. Its totient is φ = 5339520.

The previous prime is 11957809. The next prime is 11957833. The reversal of 11957816 is 61875911.

It is a self number, because there is not a number n which added to its sum of digits gives 11957816.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1370 + ... + 5078.

It is an arithmetic number, because the mean of its divisors is an integer number (779100).

Almost surely, 211957816 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 11957816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12465600).

11957816 is an abundant number, since it is smaller than the sum of its proper divisors (12973384).

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

11957816 is a wasteful number, since it uses less digits than its factorization.

11957816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3755 counting only the distinct ones).

The product of its digits is 15120, while the sum is 38.

The square root of 11957816 is about 3458.0075187888. The cubic root of 11957816 is about 228.6742634000.

The spelling of 11957816 in words is "eleven million, nine hundred fifty-seven thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1612 3224 3709 7418 14836 29672 48217 96434 114979 192868 229958 385736 459916 919832 1494727 2989454 5978908 11957816