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713365120 = 27513179479
BaseRepresentation
bin101010100001010…
…001011010000000
31211201022200222101
4222201101122000
52430110140440
6154441520144
723451334456
oct5241213200
91751280871
10713365120
11336748856
1217aaa3054
13b4a3b850
146aa569d6
154296269a
hex2a851680

713365120 has 128 divisors (see below), whose sum is σ = 1850688000. Its totient is φ = 261378048.

The previous prime is 713365117. The next prime is 713365123. The reversal of 713365120 is 21563317.

It is an interprime number because it is at equal distance from previous prime (713365117) and next prime (713365123).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7133651202 = 1017779588865228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (713365123) 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, 1489041 + ... + 1489519.

It is an arithmetic number, because the mean of its divisors is an integer number (14458500).

Almost surely, 2713365120 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 713365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344000).

713365120 is an abundant number, since it is smaller than the sum of its proper divisors (1137322880).

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

713365120 is a wasteful number, since it uses less digits than its factorization.

713365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 713365120 is about 26708.8958963114. The cubic root of 713365120 is about 893.5193395011.

The spelling of 713365120 in words is "seven hundred thirteen million, three hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 179 208 260 320 358 416 479 520 640 716 832 895 958 1040 1432 1664 1790 1916 2080 2327 2395 2864 3580 3832 4160 4654 4790 5728 6227 7160 7664 8320 9308 9580 11456 11635 12454 14320 15328 18616 19160 22912 23270 24908 28640 30656 31135 37232 38320 46540 49816 57280 61312 62270 74464 76640 85741 93080 99632 114560 124540 148928 153280 171482 186160 199264 249080 297856 306560 342964 372320 398528 428705 498160 685928 744640 797056 857410 996320 1114633 1371856 1489280 1714820 1992640 2229266 2743712 3429640 3985280 4458532 5487424 5573165 6859280 8917064 10974848 11146330 13718560 17834128 22292660 27437120 35668256 44585320 54874240 71336512 89170640 142673024 178341280 356682560 713365120