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10968096 = 253432657
BaseRepresentation
bin101001110101…
…110000100000
3202122020101210
4221311300200
510301434341
61031030120
7162140646
oct51656040
922566353
1010968096
116211547
12380b340
1323703c9
141657196
15e69c16
hexa75c20

10968096 has 48 divisors (see below), whose sum is σ = 29471904. Its totient is φ = 3569664.

The previous prime is 10968091. The next prime is 10968103. The reversal of 10968096 is 69086901.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10968091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2800 + ... + 5456.

It is an arithmetic number, because the mean of its divisors is an integer number (613998).

Almost surely, 210968096 is an apocalyptic number.

10968096 is a gapful number since it is divisible by the number (16) 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 10968096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14735952).

10968096 is an abundant number, since it is smaller than the sum of its proper divisors (18503808).

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

10968096 is a wasteful number, since it uses less digits than its factorization.

10968096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 10968096 is about 3311.8115888438. The cubic root of 10968096 is about 222.1827891512.

The spelling of 10968096 in words is "ten million, nine hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 2657 4128 5314 7971 10628 15942 21256 31884 42512 63768 85024 114251 127536 228502 255072 342753 457004 685506 914008 1371012 1828016 2742024 3656032 5484048 10968096