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713121360 = 24357538009
BaseRepresentation
bin101010100000010…
…101111001010000
31211200212022121020
4222200111321100
52430024340420
6154432355440
723446301010
oct5240257120
91750768536
10713121360
113365a16a6
1217a9a5b80
13b4984903
146a9d1c40
1542915340
hex2a815e50

713121360 has 160 divisors (see below), whose sum is σ = 2574478080. Its totient is φ = 159903744.

The previous prime is 713121349. The next prime is 713121391. The reversal of 713121360 is 63121317.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 713121360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85036 + ... + 93044.

It is an arithmetic number, because the mean of its divisors is an integer number (16090488).

Almost surely, 2713121360 is an apocalyptic number.

713121360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713121360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287239040).

713121360 is an abundant number, since it is smaller than the sum of its proper divisors (1861356720).

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

713121360 is a wasteful number, since it uses less digits than its factorization.

713121360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8085 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 713121360 is about 26704.3322328045. The cubic root of 713121360 is about 893.4175547436.

Adding to 713121360 its reverse (63121317), we get a palindrome (776242677).

The spelling of 713121360 in words is "seven hundred thirteen million, one hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 530 560 636 742 795 840 848 1060 1113 1272 1484 1590 1680 1855 2120 2226 2544 2968 3180 3710 4240 4452 5565 5936 6360 7420 8009 8904 11130 12720 14840 16018 17808 22260 24027 29680 32036 40045 44520 48054 56063 64072 80090 89040 96108 112126 120135 128144 160180 168189 192216 224252 240270 280315 320360 336378 384432 424477 448504 480540 560630 640720 672756 840945 848954 897008 961080 1121260 1273431 1345512 1681890 1697908 1922160 2122385 2242520 2546862 2691024 2971339 3363780 3395816 4244770 4485040 5093724 5942678 6367155 6727560 6791632 8489540 8914017 10187448 11885356 12734310 13455120 14856695 16979080 17828034 20374896 23770712 25468620 29713390 33958160 35656068 44570085 47541424 50937240 59426780 71312136 89140170 101874480 118853560 142624272 178280340 237707120 356560680 713121360