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10766538 = 232598141
BaseRepresentation
bin101001000100…
…100011001010
3202020222220200
4221010203022
510224012123
61022433030
7160341216
oct51044312
922228820
1010766538
116094072
123732776
1322cc743
141603946
15e2a143
hexa448ca

10766538 has 12 divisors (see below), whose sum is σ = 23327538. Its totient is φ = 3588840.

The previous prime is 10766537. The next prime is 10766543. The reversal of 10766538 is 83566701.

It can be written as a sum of positive squares in only one way, i.e., 10478169 + 288369 = 3237^2 + 537^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10766531) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 299053 + ... + 299088.

Almost surely, 210766538 is an apocalyptic number.

10766538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10766538 is an abundant number, since it is smaller than the sum of its proper divisors (12561000).

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

10766538 is a wasteful number, since it uses less digits than its factorization.

10766538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598149 (or 598146 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 10766538 is about 3281.2403142714. The cubic root of 10766538 is about 220.8133665900.

The spelling of 10766538 in words is "ten million, seven hundred sixty-six thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 598141 1196282 1794423 3588846 5383269 10766538