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706055064 = 2331113409503
BaseRepresentation
bin101010000101011…
…000101110011000
31211012120022110120
4222011120232120
52421222230224
6154021113240
723332240401
oct5205305630
91735508416
10706055064
11332605690
12178558820
13b337c480
1469ab29a8
1541ebb779
hex2a158b98

706055064 has 128 divisors (see below), whose sum is σ = 2082931200. Its totient is φ = 196623360.

The previous prime is 706055059. The next prime is 706055069. The reversal of 706055064 is 460550607.

It is an interprime number because it is at equal distance from previous prime (706055059) and next prime (706055069).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706055069) by changing a digit.

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, 1403437 + ... + 1403939.

It is an arithmetic number, because the mean of its divisors is an integer number (16272900).

Almost surely, 2706055064 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 706055064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041465600).

706055064 is an abundant number, since it is smaller than the sum of its proper divisors (1376876136).

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

706055064 is a wasteful number, since it uses less digits than its factorization.

706055064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 706055064 is about 26571.6966714585. The cubic root of 706055064 is about 890.4568054339.

The spelling of 706055064 in words is "seven hundred six million, fifty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 409 429 503 572 818 858 1006 1144 1227 1509 1636 1716 2012 2454 3018 3272 3432 4024 4499 4908 5317 5533 6036 6539 8998 9816 10634 11066 12072 13078 13497 15951 16599 17996 19617 21268 22132 26156 26994 31902 33198 35992 39234 42536 44264 52312 53988 58487 63804 66396 71929 78468 107976 116974 127608 132792 143858 156936 175461 205727 215787 233948 287716 350922 411454 431574 467896 575432 617181 701844 822908 863148 1234362 1403688 1645816 1726296 2262997 2468724 2674451 4525994 4937448 5348902 6788991 8023353 9051988 10697804 13577982 16046706 18103976 21395608 27155964 29418961 32093412 54311928 58837922 64186824 88256883 117675844 176513766 235351688 353027532 706055064