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94968 = 23321319
BaseRepresentation
bin10111001011111000
311211021100
4113023320
511014333
62011400
7543606
oct271370
9154240
1094968
1165395
1246b60
13342c3
1426876
151d213
hex172f8

94968 has 24 divisors (see below), whose sum is σ = 257400. Its totient is φ = 31632.

The previous prime is 94961. The next prime is 94993. The reversal of 94968 is 86949.

It is a tau number, because it is divible by the number of its divisors (24).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94961) by changing a digit.

94968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 588 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (10725).

294968 is an apocalyptic number.

It is an amenable number.

94968 is an abundant number, since it is smaller than the sum of its proper divisors (162432).

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

94968 is a wasteful number, since it uses less digits than its factorization.

94968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1324 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 94968 is about 308.1687849215. The cubic root of 94968 is about 45.6239025194.

The spelling of 94968 in words is "ninety-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1319 2638 3957 5276 7914 10552 11871 15828 23742 31656 47484 94968