Search a number
-
+
696528 = 24327691
BaseRepresentation
bin10101010000011010000
31022101110100
42222003100
5134242103
622532400
75630460
oct2520320
91271410
10696528
11436348
12297100
131b5061
14141ba0
15db5a3
hexaa0d0

696528 has 60 divisors (see below), whose sum is σ = 2231008. Its totient is φ = 198720.

The previous prime is 696523. The next prime is 696533. The reversal of 696528 is 825696.

It is an interprime number because it is at equal distance from previous prime (696523) and next prime (696533).

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

It is a junction number, because it is equal to n+sod(n) for n = 696492 and 696501.

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 696528.

It is not an unprimeable number, because it can be changed into a prime (696523) by changing a digit.

696528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 663 + ... + 1353.

2696528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 696528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115504).

696528 is an abundant number, since it is smaller than the sum of its proper divisors (1534480).

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

696528 is a wasteful number, since it uses less digits than its factorization.

696528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 703 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 696528 is about 834.5825303707. The cubic root of 696528 is about 88.6433566654.

The spelling of 696528 in words is "six hundred ninety-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 691 1008 1382 2073 2764 4146 4837 5528 6219 8292 9674 11056 12438 14511 16584 19348 24876 29022 33168 38696 43533 49752 58044 77392 87066 99504 116088 174132 232176 348264 696528