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10968680 = 235443619
BaseRepresentation
bin101001110101…
…111001101000
3202122021012102
4221311321220
510301444210
61031032532
7162142442
oct51657150
922567172
1010968680
116211a28
12380b748
132370758
141657492
15e69ea5
hexa75e68

10968680 has 32 divisors (see below), whose sum is σ = 24775200. Its totient is φ = 4370496.

The previous prime is 10968679. The next prime is 10968691. The reversal of 10968680 is 8686901.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17411 + ... + 18029.

It is an arithmetic number, because the mean of its divisors is an integer number (774225).

Almost surely, 210968680 is an apocalyptic number.

10968680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10968680 is an abundant number, since it is smaller than the sum of its proper divisors (13806520).

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

10968680 is a wasteful number, since it uses less digits than its factorization.

10968680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 10968680 is about 3311.8997569371. The cubic root of 10968680 is about 222.1867324806.

The spelling of 10968680 in words is "ten million, nine hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 443 619 886 1238 1772 2215 2476 3095 3544 4430 4952 6190 8860 12380 17720 24760 274217 548434 1096868 1371085 2193736 2742170 5484340 10968680