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10930968 = 2332157967
BaseRepresentation
bin101001101100…
…101100011000
3202120100110200
4221230230120
510244242333
61030142200
7161624466
oct51545430
922510420
1010930968
116196664
1237b1960
132359539
141647836
15e5dc13
hexa6cb18

10930968 has 48 divisors (see below), whose sum is σ = 29824080. Its totient is φ = 3616704.

The previous prime is 10930963. The next prime is 10930991. The reversal of 10930968 is 86903901.

It is a super-2 number, since 2×109309682 = 238972122834048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10930963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10821 + ... + 11787.

It is an arithmetic number, because the mean of its divisors is an integer number (621335).

Almost surely, 210930968 is an apocalyptic number.

10930968 is a gapful number since it is divisible by the number (18) 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 10930968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14912040).

10930968 is an abundant number, since it is smaller than the sum of its proper divisors (18893112).

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

10930968 is a wasteful number, since it uses less digits than its factorization.

10930968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10930968 is about 3306.2014457682. The cubic root of 10930968 is about 221.9318027679.

The spelling of 10930968 in words is "ten million, nine hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 967 1256 1413 1884 1934 2826 2901 3768 3868 5652 5802 7736 8703 11304 11604 17406 23208 34812 69624 151819 303638 455457 607276 910914 1214552 1366371 1821828 2732742 3643656 5465484 10930968