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706626 = 232371061
BaseRepresentation
bin10101100100001000010
31022220022100
42230201002
5140103001
623051230
76002064
oct2544102
91286270
10706626
11442998
122a0b16
131b982b
14145734
15de586
hexac842

706626 has 24 divisors (see below), whose sum is σ = 1573884. Its totient is φ = 228960.

The previous prime is 706621. The next prime is 706631. The reversal of 706626 is 626607.

It is an interprime number because it is at equal distance from previous prime (706621) and next prime (706631).

It can be written as a sum of positive squares in 2 ways, for example, as 641601 + 65025 = 801^2 + 255^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 706626.

It is not an unprimeable number, because it can be changed into a prime (706621) by changing a digit.

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, 136 + ... + 1196.

2706626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786942).

706626 is an abundant number, since it is smaller than the sum of its proper divisors (867258).

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

706626 is a wasteful number, since it uses less digits than its factorization.

706626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 706626 is about 840.6104924399. The cubic root of 706626 is about 89.0696756915.

The spelling of 706626 in words is "seven hundred six thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1061 2122 3183 6366 9549 19098 39257 78514 117771 235542 353313 706626