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696696 = 2337111329
BaseRepresentation
bin10101010000101111000
31022101200120
42222011320
5134243241
622533240
75631120
oct2520570
91271616
10696696
11436490
12297220
131b5160
14141c80
15db666
hexaa178

696696 has 128 divisors (see below), whose sum is σ = 2419200. Its totient is φ = 161280.

The previous prime is 696691. The next prime is 696719.

696696 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 696696.

It is not an unprimeable number, because it can be changed into a prime (696691) by changing a digit.

696696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24010 + ... + 24038.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2696696 is an apocalyptic number.

696696 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 696696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209600).

696696 is an abundant number, since it is smaller than the sum of its proper divisors (1722504).

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

696696 is a wasteful number, since it uses less digits than its factorization.

696696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 65 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 696696 is about 834.6831734257. The cubic root of 696696 is about 88.6504829100.

The spelling of 696696 in words is "six hundred ninety-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 29 33 39 42 44 52 56 58 66 77 78 84 87 88 91 104 116 132 143 154 156 168 174 182 203 231 232 264 273 286 308 312 319 348 364 377 406 429 462 546 572 609 616 638 696 728 754 812 858 924 957 1001 1092 1131 1144 1218 1276 1508 1624 1716 1848 1914 2002 2184 2233 2262 2436 2552 2639 3003 3016 3432 3828 4004 4147 4466 4524 4872 5278 6006 6699 7656 7917 8008 8294 8932 9048 10556 12012 12441 13398 15834 16588 17864 21112 24024 24882 26796 29029 31668 33176 49764 53592 58058 63336 87087 99528 116116 174174 232232 348348 696696