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605713920 = 2935719593
BaseRepresentation
bin100100000110100…
…111011000000000
31120012202110021220
4210012213120000
52220030321140
6140034315040
721003324540
oct4406473000
91505673256
10605713920
11290a00919
1214aa28a80
1398649606
145a633320
153829abd0
hex241a7600

605713920 has 320 divisors, whose sum is σ = 2333422080. Its totient is φ = 130940928.

The previous prime is 605713909. The next prime is 605713943. The reversal of 605713920 is 29317506.

It is a tau number, because it is divible by the number of its divisors (320).

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, 1021144 + ... + 1021736.

It is an arithmetic number, because the mean of its divisors is an integer number (7291944).

Almost surely, 2605713920 is an apocalyptic number.

605713920 is a gapful number since it is divisible by the number (60) 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 605713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166711040).

605713920 is an abundant number, since it is smaller than the sum of its proper divisors (1727708160).

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

605713920 is a wasteful number, since it uses less digits than its factorization.

605713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 605713920 is about 24611.2559614498. The cubic root of 605713920 is about 846.1016035217.

The spelling of 605713920 in words is "six hundred five million, seven hundred thirteen thousand, nine hundred twenty".