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696320 = 213517
BaseRepresentation
bin10101010000000000000
31022101011122
42222000000
5134240240
622531412
75630042
oct2520000
91271148
10696320
11436179
12296b68
131b4c31
14141a92
15db4b5
hexaa000

696320 has 56 divisors (see below), whose sum is σ = 1769364. Its totient is φ = 262144.

The previous prime is 696317. The next prime is 696323. The reversal of 696320 is 23696.

It is an interprime number because it is at equal distance from previous prime (696317) and next prime (696323).

It can be written as a sum of positive squares in 2 ways, for example, as 692224 + 4096 = 832^2 + 64^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 696320.

It is not an unprimeable number, because it can be changed into a prime (696323) by changing a digit.

In principle, a polygon with 696320 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40952 + ... + 40968.

2696320 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 696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884682).

696320 is an abundant number, since it is smaller than the sum of its proper divisors (1073044).

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

696320 is an equidigital number, since it uses as much as digits as its factorization.

696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 696320 is about 834.4579078659. The cubic root of 696320 is about 88.6345321081.

The spelling of 696320 in words is "six hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4096 4352 5120 5440 8192 8704 10240 10880 17408 20480 21760 34816 40960 43520 69632 87040 139264 174080 348160 696320