Search a number
-
+
10064967 = 3114143173
BaseRepresentation
bin100110011001…
…010001000111
3200221100112120
4212121101013
510034034332
6555421023
7151356633
oct46312107
920840476
1010064967
115754a60
123454773
132115303
14149ddc3
15d3c32c
hex999447

10064967 has 32 divisors (see below), whose sum is σ = 15434496. Its totient is φ = 5779200.

The previous prime is 10064963. The next prime is 10064981. The reversal of 10064967 is 76946001.

It is a happy number.

10064967 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10064967 - 22 = 10064963 is a prime.

It is a super-2 number, since 2×100649672 = 202607121422178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10064963) 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 31 ways as a sum of consecutive naturals, for example, 58093 + ... + 58265.

It is an arithmetic number, because the mean of its divisors is an integer number (482328).

Almost surely, 210064967 is an apocalyptic number.

10064967 is a deficient number, since it is larger than the sum of its proper divisors (5369529).

10064967 is a wasteful number, since it uses less digits than its factorization.

10064967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 10064967 is about 3172.5332149561. The cubic root of 10064967 is about 215.9090194685.

The spelling of 10064967 in words is "ten million, sixty-four thousand, nine hundred sixty-seven".

Divisors: 1 3 11 33 41 43 123 129 173 451 473 519 1353 1419 1763 1903 5289 5709 7093 7439 19393 21279 22317 58179 78023 81829 234069 245487 304999 914997 3354989 10064967