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713379360 = 25357320359
BaseRepresentation
bin101010100001010…
…100111000100000
31211201100102111210
4222201110320200
52430111114420
6154442110120
723451424131
oct5241247040
91751312453
10713379360
11336758521
1217aaab340
13b4a45185
146aa5bc88
15429669e0
hex2a854e20

713379360 has 96 divisors (see below), whose sum is σ = 2278039680. Its totient is φ = 187619328.

The previous prime is 713379353. The next prime is 713379361. The reversal of 713379360 is 63973317.

713379360 = 30902 + 30912 + ... + 31622.

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

It is a super-2 number, since 2×7133793602 = 1017820222548019200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (713379361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24861 + ... + 45219.

It is an arithmetic number, because the mean of its divisors is an integer number (23729580).

Almost surely, 2713379360 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 713379360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139019840).

713379360 is an abundant number, since it is smaller than the sum of its proper divisors (1564660320).

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

713379360 is a wasteful number, since it uses less digits than its factorization.

713379360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20450 (or 20442 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 39.

The square root of 713379360 is about 26709.1624728294. The cubic root of 713379360 is about 893.5252848580.

The spelling of 713379360 in words is "seven hundred thirteen million, three hundred seventy-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 584 730 876 1095 1168 1460 1752 2190 2336 2920 3504 4380 5840 7008 8760 11680 17520 20359 35040 40718 61077 81436 101795 122154 162872 203590 244308 305385 325744 407180 488616 610770 651488 814360 977232 1221540 1486207 1628720 1954464 2443080 2972414 3257440 4458621 4886160 5944828 7431035 8917242 9772320 11889656 14862070 17834484 22293105 23779312 29724140 35668968 44586210 47558624 59448280 71337936 89172420 118896560 142675872 178344840 237793120 356689680 713379360