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690688 = 291971
BaseRepresentation
bin10101000101000000000
31022002110001
42220220000
5134100223
622445344
75604445
oct2505000
91262401
10690688
11431a19
12293854
131b24bb
1413d9cc
15d99ad
hexa8a00

690688 has 40 divisors (see below), whose sum is σ = 1473120. Its totient is φ = 322560.

The previous prime is 690673. The next prime is 690689. The reversal of 690688 is 886096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9693 + ... + 9763.

It is an arithmetic number, because the mean of its divisors is an integer number (36828).

2690688 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 690688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736560).

690688 is an abundant number, since it is smaller than the sum of its proper divisors (782432).

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

690688 is an equidigital number, since it uses as much as digits as its factorization.

690688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 690688 is about 831.0764104461. The cubic root of 690688 is about 88.3949192769.

It can be divided in two parts, 690 and 688, that added together give a triangular number (1378 = T52).

The spelling of 690688 in words is "six hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 256 284 304 512 568 608 1136 1216 1349 2272 2432 2698 4544 4864 5396 9088 9728 10792 18176 21584 36352 43168 86336 172672 345344 690688