Search a number
-
+
10676757 = 3721337151
BaseRepresentation
bin101000101110…
…101000010101
3202002102202110
4220232220111
510213124012
61020501233
7156515400
oct50565025
922072673
1010676757
116032673
1236aa819
13229a910
1415bcd37
15e0d73c
hexa2ea15

10676757 has 48 divisors (see below), whose sum is σ = 18436992. Its totient is φ = 5443200.

The previous prime is 10676753. The next prime is 10676773. The reversal of 10676757 is 75767601.

It is not a de Polignac number, because 10676757 - 22 = 10676753 is a prime.

It is a super-2 number, since 2×106767572 = 227986280074098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10676753) 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 47 ways as a sum of consecutive naturals, for example, 70632 + ... + 70782.

It is an arithmetic number, because the mean of its divisors is an integer number (384104).

Almost surely, 210676757 is an apocalyptic number.

It is an amenable number.

10676757 is a deficient number, since it is larger than the sum of its proper divisors (7760235).

10676757 is a wasteful number, since it uses less digits than its factorization.

10676757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 10676757 is about 3267.5307190599. The cubic root of 10676757 is about 220.1978729395.

The spelling of 10676757 in words is "ten million, six hundred seventy-six thousand, seven hundred fifty-seven".

Divisors: 1 3 7 13 21 37 39 49 91 111 147 151 259 273 453 481 637 777 1057 1443 1813 1911 1963 3171 3367 5439 5587 5889 7399 10101 13741 16761 22197 23569 39109 41223 70707 72631 96187 117327 217893 273763 288561 508417 821289 1525251 3558919 10676757