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706422168 = 23337173631
BaseRepresentation
bin101010000110110…
…010010110011000
31211020020222001000
4222012302112120
52421321002133
6154033025000
723335326564
oct5206622630
91736228030
10706422168
11332836481
121786b5160
13b347a5aa
1469b6a6a4
1542040413
hex2a1b2598

706422168 has 128 divisors (see below), whose sum is σ = 2020377600. Its totient is φ = 228614400.

The previous prime is 706422149. The next prime is 706422217. The reversal of 706422168 is 861224607.

706422168 is a `hidden beast` number, since 7 + 0 + 642 + 2 + 1 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1119213 + ... + 1119843.

It is an arithmetic number, because the mean of its divisors is an integer number (15784200).

Almost surely, 2706422168 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 706422168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010188800).

706422168 is an abundant number, since it is smaller than the sum of its proper divisors (1313955432).

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

706422168 is a wasteful number, since it uses less digits than its factorization.

706422168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 706422168 is about 26578.6035750564. The cubic root of 706422168 is about 890.6111057777.

The spelling of 706422168 in words is "seven hundred six million, four hundred twenty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 73 108 142 146 213 216 219 284 292 426 438 568 584 631 639 657 852 876 1262 1278 1314 1704 1752 1893 1917 1971 2524 2556 2628 3786 3834 3942 5048 5112 5183 5256 5679 7572 7668 7884 10366 11358 15144 15336 15549 15768 17037 20732 22716 31098 34074 41464 44801 45432 46063 46647 62196 68148 89602 92126 93294 124392 134403 136296 138189 139941 179204 184252 186588 268806 276378 279882 358408 368504 373176 403209 414567 537612 552756 559764 806418 829134 1075224 1105512 1119528 1209627 1243701 1612836 1658268 2419254 2487402 3225672 3270473 3316536 4838508 4974804 6540946 9677016 9811419 9949608 13081892 19622838 26163784 29434257 39245676 58868514 78491352 88302771 117737028 176605542 235474056 353211084 706422168