Search a number
-
+
12311772 = 22311194909
BaseRepresentation
bin101110111101…
…110011011100
3212011111120120
4232331303130
511122434042
61115514540
7206435244
oct56756334
925144516
1012311772
116a4a020
124158a50
132720b95
1418c6b24
151132dec
hexbbdcdc

12311772 has 48 divisors (see below), whose sum is σ = 32995200. Its totient is φ = 3533760.

The previous prime is 12311771. The next prime is 12311777. The reversal of 12311772 is 27711321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54 + ... + 4962.

It is an arithmetic number, because the mean of its divisors is an integer number (687400).

Almost surely, 212311772 is an apocalyptic number.

12311772 is a gapful number since it is divisible by the number (12) 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 12311772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16497600).

12311772 is an abundant number, since it is smaller than the sum of its proper divisors (20683428).

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

12311772 is a wasteful number, since it uses less digits than its factorization.

12311772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4944 counting only the distinct ones).

The product of its digits is 588, while the sum is 24.

The square root of 12311772 is about 3508.8134746663. The cubic root of 12311772 is about 230.9086424970.

It can be divided in two parts, 1231 and 1772, that added together give a palindrome (3003).

The spelling of 12311772 in words is "twelve million, three hundred eleven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 4909 9818 14727 19636 29454 53999 58908 93271 107998 161997 186542 215996 279813 323994 373084 559626 647988 1025981 1119252 2051962 3077943 4103924 6155886 12311772