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968980113 = 32318939023
BaseRepresentation
bin111001110000010…
…111011010010001
32111112022021211100
4321300113122101
53441024330423
6240052335013
733004123623
oct7160273221
92445267740
10968980113
11457a67112
12230614469
13125998c1a
1492994c13
155a105343
hex39c17691

968980113 has 24 divisors (see below), whose sum is σ = 1461058560. Its totient is φ = 618108480.

The previous prime is 968980099. The next prime is 968980121. The reversal of 968980113 is 311089869.

968980113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 968980113 - 29 = 968979601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (968980513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5320 + ... + 44342.

It is an arithmetic number, because the mean of its divisors is an integer number (60877440).

Almost surely, 2968980113 is an apocalyptic number.

968980113 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

968980113 is a deficient number, since it is larger than the sum of its proper divisors (492078447).

968980113 is a wasteful number, since it uses less digits than its factorization.

968980113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39149 (or 39146 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 968980113 is about 31128.4453996662. The cubic root of 968980113 is about 989.5512413628.

The spelling of 968980113 in words is "nine hundred sixty-eight million, nine hundred eighty thousand, one hundred thirteen".

Divisors: 1 3 9 31 89 93 267 279 801 2759 8277 24831 39023 117069 351207 1209713 3473047 3629139 10419141 10887417 31257423 107664457 322993371 968980113