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706714080 = 25353474243
BaseRepresentation
bin101010000111111…
…001100111100000
31211020210210110120
4222013321213200
52421404322310
6154043200240
723340653622
oct5207714740
91736723416
10706714080
11332a15826
12178816080
13b3550417
1469c04c12
154209bb70
hex2a1f99e0

706714080 has 96 divisors (see below), whose sum is σ = 2233090944. Its totient is φ = 187869696.

The previous prime is 706714067. The next prime is 706714087. The reversal of 706714080 is 80417607.

706714080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706714087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164439 + ... + 168681.

It is an arithmetic number, because the mean of its divisors is an integer number (23261364).

Almost surely, 2706714080 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 706714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116545472).

706714080 is an abundant number, since it is smaller than the sum of its proper divisors (1526376864).

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

706714080 is a wasteful number, since it uses less digits than its factorization.

706714080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 706714080 is about 26584.0944927601. The cubic root of 706714080 is about 890.7337634362.

The spelling of 706714080 in words is "seven hundred six million, seven hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 347 480 694 1041 1388 1735 2082 2776 3470 4164 4243 5205 5552 6940 8328 8486 10410 11104 12729 13880 16656 16972 20820 21215 25458 27760 33312 33944 41640 42430 50916 55520 63645 67888 83280 84860 101832 127290 135776 166560 169720 203664 254580 339440 407328 509160 678880 1018320 1472321 2036640 2944642 4416963 5889284 7361605 8833926 11778568 14723210 17667852 22084815 23557136 29446420 35335704 44169630 47114272 58892840 70671408 88339260 117785680 141342816 176678520 235571360 353357040 706714080