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713000360 = 23537895413
BaseRepresentation
bin101010011111111…
…000010110101000
31211200122011121202
4222133320112220
52430012002420
6154430023332
723445255152
oct5237702650
91750564552
10713000360
113365197a6
1217a947b48
13b4941807
146a99dad2
15428de575
hex2a7f85a8

713000360 has 64 divisors (see below), whose sum is σ = 1666429200. Its totient is φ = 274323456.

The previous prime is 713000347. The next prime is 713000363. The reversal of 713000360 is 63000317.

It can be written as a sum of positive squares in 8 ways, for example, as 244797316 + 468203044 = 15646^2 + 21638^2 .

It is a super-3 number, since 3×7130003603 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (713000363) 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, 129014 + ... + 134426.

Almost surely, 2713000360 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 713000360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833214600).

713000360 is an abundant number, since it is smaller than the sum of its proper divisors (953428840).

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

713000360 is a wasteful number, since it uses less digits than its factorization.

713000360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 713000360 is about 26702.0665866895. The cubic root of 713000360 is about 893.3670212043.

Adding to 713000360 its reverse (63000317), we get a palindrome (776000677).

The spelling of 713000360 in words is "seven hundred thirteen million, three hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 37 40 74 89 148 178 185 296 356 370 445 712 740 890 1480 1780 3293 3560 5413 6586 10826 13172 16465 21652 26344 27065 32930 43304 54130 65860 108260 131720 200281 216520 400562 481757 801124 963514 1001405 1602248 1927028 2002810 2408785 3854056 4005620 4817570 8011240 9635140 17825009 19270280 35650018 71300036 89125045 142600072 178250090 356500180 713000360