Search a number
11813976 = 2332316779
BaseRepresentation
bin101101000100…
…010001011000
3211020012201200
4231010101120
511011021401
61101114200
7202263036
oct55042130
924205650
1011813976
11673a019
123b58960
1325a8425
1417d7556
151085686
hexb44458

11813976 has 96 divisors (see below), whose sum is σ = 33945600. Its totient is φ = 3706560.

The previous prime is 11813969. The next prime is 11813987. The reversal of 11813976 is 67931811.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (9072) is a multiple of the sum of its prime factors (189).

It is a self number, because there is not a number n which added to its sum of digits gives 11813976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149505 + ... + 149583.

It is an arithmetic number, because the mean of its divisors is an integer number (353600).

Almost surely, 211813976 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 11813976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16972800).

11813976 is an abundant number, since it is smaller than the sum of its proper divisors (22131624).

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

11813976 is a wasteful number, since it uses less digits than its factorization.

11813976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

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

The square root of 11813976 is about 3437.1464909136. The cubic root of 11813976 is about 227.7536582212.

The spelling of 11813976 in words is "eleven million, eight hundred thirteen thousand, nine hundred seventy-six".