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766041107 = 13199731973
BaseRepresentation
bin101101101010001…
…101110000010011
31222101102220211212
4231222031300103
53032101303412
6204002530335
724661145666
oct5552156023
91871386755
10766041107
11363457027
121946669ab
13c2922c80
1473a496dd
15473ba222
hex2da8dc13

766041107 has 16 divisors (see below), whose sum is σ = 877366560. Its totient is φ = 662971392.

The previous prime is 766041079. The next prime is 766041137. The reversal of 766041107 is 701140667.

It is a happy number.

766041107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 766041107 - 214 = 766024723 is a prime.

It is a super-2 number, since 2×7660411072 = 1173637955227570898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (766041137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7973 + ... + 39945.

It is an arithmetic number, because the mean of its divisors is an integer number (54835410).

Almost surely, 2766041107 is an apocalyptic number.

766041107 is a deficient number, since it is larger than the sum of its proper divisors (111325453).

766041107 is a wasteful number, since it uses less digits than its factorization.

766041107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32102.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 766041107 is about 27677.4476243746. The cubic root of 766041107 is about 914.9921294873.

The spelling of 766041107 in words is "seven hundred sixty-six million, forty-one thousand, one hundred seven".

Divisors: 1 13 19 97 247 1261 1843 23959 31973 415649 607487 3101381 7897331 40317953 58926239 766041107