[go: up one dir, main page]

Search a number
-
+
10680696 = 23321311411
BaseRepresentation
bin101000101111…
…100101111000
3202002122011100
4220233211320
510213240241
61020531400
7156533025
oct50574570
922078140
1010680696
116035624
1236b0b60
13229c650
1415c054c
15e0e9b6
hexa2f978

10680696 has 48 divisors (see below), whose sum is σ = 31154760. Its totient is φ = 3286080.

The previous prime is 10680667. The next prime is 10680697. The reversal of 10680696 is 69608601.

It is a super-2 number, since 2×106806962 = 228154534088832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10680696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680697) 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 11 ways as a sum of consecutive naturals, for example, 4770 + ... + 6641.

Almost surely, 210680696 is an apocalyptic number.

It is an amenable number.

10680696 is an abundant number, since it is smaller than the sum of its proper divisors (20474064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10680696 is a wasteful number, since it uses less digits than its factorization.

10680696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11436 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 10680696 is about 3268.1334122095. The cubic root of 10680696 is about 220.2249489757.

The spelling of 10680696 in words is "ten million, six hundred eighty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 11411 22822 34233 45644 68466 91288 102699 136932 148343 205398 273864 296686 410796 445029 593372 821592 890058 1186744 1335087 1780116 2670174 3560232 5340348 10680696