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10768157 = 17738677
BaseRepresentation
bin101001000100…
…111100011101
3202021002010122
4221010330131
510224040112
61022444325
7160346021
oct51047435
922232118
1010768157
116095304
1237336a5
1323003ba
141604381
15e2a872
hexa44f1d

10768157 has 8 divisors (see below), whose sum is σ = 11559096. Its totient is φ = 9994752.

The previous prime is 10768141. The next prime is 10768187. The reversal of 10768157 is 75186701.

10768157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2042041 + 8726116 = 1429^2 + 2954^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10768157 - 24 = 10768141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10768127) 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, 3098 + ... + 5579.

It is an arithmetic number, because the mean of its divisors is an integer number (1444887).

Almost surely, 210768157 is an apocalyptic number.

10768157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10768157 is a deficient number, since it is larger than the sum of its proper divisors (790939).

10768157 is an equidigital number, since it uses as much as digits as its factorization.

10768157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8767.

The product of its (nonzero) digits is 11760, while the sum is 35.

The square root of 10768157 is about 3281.4870104878. The cubic root of 10768157 is about 220.8244341812.

The spelling of 10768157 in words is "ten million, seven hundred sixty-eight thousand, one hundred fifty-seven".

Divisors: 1 17 73 1241 8677 147509 633421 10768157