Search a number
-
+
10666957 = 73137227
BaseRepresentation
bin101000101100…
…001111001101
3202001221022111
4220230033031
510212320312
61020344021
7156445000
oct50541715
922057274
1010666957
116026274
1236a5011
132296312
1415b9537
15e0a8a7
hexa2c3cd

10666957 has 16 divisors (see below), whose sum is σ = 12585600. Its totient is φ = 9036384.

The previous prime is 10666949. The next prime is 10666987. The reversal of 10666957 is 75966601.

10666957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10666957 - 23 = 10666949 is a prime.

It is a super-2 number, since 2×106669572 = 227567943279698, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10666907) 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, 46878 + ... + 47104.

It is an arithmetic number, because the mean of its divisors is an integer number (786600).

Almost surely, 210666957 is an apocalyptic number.

It is an amenable number.

10666957 is a deficient number, since it is larger than the sum of its proper divisors (1918643).

10666957 is an equidigital number, since it uses as much as digits as its factorization.

10666957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 10666957 is about 3266.0307714411. The cubic root of 10666957 is about 220.1304804489.

The spelling of 10666957 in words is "ten million, six hundred sixty-six thousand, nine hundred fifty-seven".

Divisors: 1 7 49 137 227 343 959 1589 6713 11123 31099 46991 77861 217693 1523851 10666957