Search a number
-
+
600157012 = 2271311314591
BaseRepresentation
bin100011110001011…
…010101101010100
31112211022010122111
4203301122231110
52212120011022
6135315240404
720605151620
oct4361325524
91484263574
10600157012
11288855934
12148ba9104
13974521c0
14599c8180
1537a4e477
hex23c5ab54

600157012 has 48 divisors (see below), whose sum is σ = 1304174592. Its totient is φ = 235307520.

The previous prime is 600157007. The next prime is 600157013. The reversal of 600157012 is 210751006.

600157012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (600157013) 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, 33837 + ... + 48427.

It is an arithmetic number, because the mean of its divisors is an integer number (27170304).

Almost surely, 2600157012 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 600157012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652087296).

600157012 is an abundant number, since it is smaller than the sum of its proper divisors (704017580).

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

600157012 is a wasteful number, since it uses less digits than its factorization.

600157012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14728 (or 14726 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 600157012 is about 24498.1022122123. The cubic root of 600157012 is about 843.5062305794.

The spelling of 600157012 in words is "six hundred million, one hundred fifty-seven thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 113 182 226 364 452 791 1469 1582 2938 3164 5876 10283 14591 20566 29182 41132 58364 102137 189683 204274 379366 408548 758732 1327781 1648783 2655562 3297566 5311124 6595132 11541481 21434179 23082962 42868358 46165924 85736716 150039253 300078506 600157012