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706140032 = 2713479029
BaseRepresentation
bin101010000101101…
…101011110000000
31211012201122000112
4222011231132000
52421232440112
6154023010452
723333043203
oct5205553600
91735648015
10706140032
11332663504
12178599a28
13b33ac050
1469ad593a
1541ed6a22
hex2a16d780

706140032 has 64 divisors (see below), whose sum is σ = 1547380800. Its totient is φ = 318941184.

The previous prime is 706140031. The next prime is 706140037. The reversal of 706140032 is 230041607.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7061400322 = 997267489585922048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706140031) 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 7 ways as a sum of consecutive naturals, for example, 73694 + ... + 82722.

It is an arithmetic number, because the mean of its divisors is an integer number (24177825).

Almost surely, 2706140032 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 706140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773690400).

706140032 is an abundant number, since it is smaller than the sum of its proper divisors (841240768).

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

706140032 is a wasteful number, since it uses less digits than its factorization.

706140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9103 (or 9091 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 706140032 is about 26573.2954674425. The cubic root of 706140032 is about 890.4925237524.

Adding to 706140032 its reverse (230041607), we get a palindrome (936181639).

The spelling of 706140032 in words is "seven hundred six million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 376 416 611 752 832 1222 1504 1664 2444 3008 4888 6016 9029 9776 18058 19552 36116 39104 72232 78208 117377 144464 234754 288928 424363 469508 577856 848726 939016 1155712 1697452 1878032 3394904 3756064 5516719 6789808 7512128 11033438 13579616 15024256 22066876 27159232 44133752 54318464 88267504 176535008 353070016 706140032