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968112 = 243683
BaseRepresentation
bin11101100010110110000
31211012000000
43230112300
5221434422
632430000
711141325
oct3542660
91735000
10968112
116013a2
123a8300
1327b862
141b2b4c
15141cac
hexec5b0

968112 has 70 divisors (see below), whose sum is σ = 2846172. Its totient is φ = 318816.

The previous prime is 968111. The next prime is 968113. The reversal of 968112 is 211869.

968112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (968111) and next prime (968113).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (968111) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11623 + ... + 11705.

2968112 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 968112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423086).

968112 is an abundant number, since it is smaller than the sum of its proper divisors (1878060).

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

968112 is an equidigital number, since it uses as much as digits as its factorization.

968112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 968112 is about 983.9268265476. The cubic root of 968112 is about 98.9255638817.

It can be divided in two parts, 9 and 68112, that added together give a square (68121 = 2612).

The spelling of 968112 in words is "nine hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 243 249 324 332 432 486 498 648 664 729 747 972 996 1296 1328 1458 1494 1944 1992 2241 2916 2988 3888 3984 4482 5832 5976 6723 8964 11664 11952 13446 17928 20169 26892 35856 40338 53784 60507 80676 107568 121014 161352 242028 322704 484056 968112