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713139840 = 27325723769
BaseRepresentation
bin101010100000011…
…010011010000000
31211200220020221200
4222200122122000
52430030433330
6154433021200
723446405620
oct5240323200
91750806850
10713139840
11336604576
1217a9b4800
13b499014a
146a9d8880
154291aa60
hex2a81a680

713139840 has 384 divisors, whose sum is σ = 2940537600. Its totient is φ = 155713536.

The previous prime is 713139839. The next prime is 713139853. The reversal of 713139840 is 48931317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 713139795 and 713139804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926976 + ... + 927744.

It is an arithmetic number, because the mean of its divisors is an integer number (7657650).

Almost surely, 2713139840 is an apocalyptic number.

713139840 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 713139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470268800).

713139840 is an abundant number, since it is smaller than the sum of its proper divisors (2227397760).

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

713139840 is a wasteful number, since it uses less digits than its factorization.

713139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 713139840 is about 26704.6782418362. The cubic root of 713139840 is about 893.4252720901.

It can be divided in two parts, 7131 and 39840, that added together give a triangular number (46971 = T306).

The spelling of 713139840 in words is "seven hundred thirteen million, one hundred thirty-nine thousand, eight hundred forty".