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706146680 = 235174092539
BaseRepresentation
bin101010000101101…
…111000101111000
31211012201222010202
4222011233011320
52421233143210
6154023101332
723333101451
oct5205570570
91735658122
10706146680
113326684a8
121785a1848
13b33b2095
1469ad8128
1541ed89a5
hex2a16f178

706146680 has 64 divisors (see below), whose sum is σ = 1687068000. Its totient is φ = 265089024.

The previous prime is 706146677. The next prime is 706146709. The reversal of 706146680 is 86641607.

706146680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276851 + ... + 279389.

Almost surely, 2706146680 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 706146680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843534000).

706146680 is an abundant number, since it is smaller than the sum of its proper divisors (980921320).

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

706146680 is a wasteful number, since it uses less digits than its factorization.

706146680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 706146680 is about 26573.4205551337. The cubic root of 706146680 is about 890.4953182764.

The spelling of 706146680 in words is "seven hundred six million, one hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 409 680 818 1636 2045 2539 3272 4090 5078 6953 8180 10156 12695 13906 16360 20312 25390 27812 34765 43163 50780 55624 69530 86326 101560 139060 172652 215815 278120 345304 431630 863260 1038451 1726520 2076902 4153804 5192255 8307608 10384510 17653667 20769020 35307334 41538040 70614668 88268335 141229336 176536670 353073340 706146680