Search a number
-
+
10678989 = 329131937
BaseRepresentation
bin101000101111…
…001011001101
3202002112211010
4220233023031
510213211424
61020515433
7156525036
oct50571315
922075733
1010678989
116034312
1236abb79
13229b939
1415bda8d
15e0e229
hexa2f2cd

10678989 has 16 divisors (see below), whose sum is σ = 14857920. Its totient is φ = 6814080.

The previous prime is 10678981. The next prime is 10678991. The reversal of 10678989 is 98987601.

10678989 = 2182 + 2192 + ... + 3482.

It is a happy number.

10678989 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 10678989 - 23 = 10678981 is a prime.

It is a super-2 number, since 2×106789892 = 228081612124242, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10678981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10929 + ... + 11865.

It is an arithmetic number, because the mean of its divisors is an integer number (928620).

Almost surely, 210678989 is an apocalyptic number.

It is an amenable number.

10678989 is a deficient number, since it is larger than the sum of its proper divisors (4178931).

10678989 is a wasteful number, since it uses less digits than its factorization.

10678989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100.

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 10678989 is about 3267.8722435248. The cubic root of 10678989 is about 220.2132161568.

The spelling of 10678989 in words is "ten million, six hundred seventy-eight thousand, nine hundred eighty-nine".

Divisors: 1 3 29 87 131 393 937 2811 3799 11397 27173 81519 122747 368241 3559663 10678989