Search a number
-
+
11631876 = 22317193001
BaseRepresentation
bin101100010111…
…110100000100
3210212221221020
4230113310010
510434210001
61053151140
7200604114
oct54276404
923787836
1011631876
116625223
123a8b4b0
132543589
14178b044
15104b736
hexb17d04

11631876 has 48 divisors (see below), whose sum is σ = 30260160. Its totient is φ = 3456000.

The previous prime is 11631853. The next prime is 11631877. The reversal of 11631876 is 67813611.

It is not an unprimeable number, because it can be changed into a prime (11631877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2376 + ... + 5376.

It is an arithmetic number, because the mean of its divisors is an integer number (630420).

Almost surely, 211631876 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 11631876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15130080).

11631876 is an abundant number, since it is smaller than the sum of its proper divisors (18628284).

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

11631876 is a wasteful number, since it uses less digits than its factorization.

11631876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3042 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 11631876 is about 3410.5536207484. The cubic root of 11631876 is about 226.5773994894.

The spelling of 11631876 in words is "eleven million, six hundred thirty-one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3001 3876 6002 9003 12004 18006 36012 51017 57019 102034 114038 153051 171057 204068 228076 306102 342114 612204 684228 969323 1938646 2907969 3877292 5815938 11631876