Search a number
-
+
6013057000 = 235312374861
BaseRepresentation
bin1011001100110011…
…11111011111101000
3120112001121221111211
411212121333133220
544303320311000
62432400402504
7302003066266
oct54631773750
916461557454
106013057000
1126062397a5
1211b9916434
1374a9babc2
1441084b436
15252d667ba
hex16667f7e8

6013057000 has 64 divisors (see below), whose sum is σ = 14084825040. Its totient is φ = 2402784000.

The previous prime is 6013056989. The next prime is 6013057019. The reversal of 6013057000 is 7503106.

It can be written as a sum of positive squares in 8 ways, for example, as 1710484164 + 4302572836 = 41358^2 + 65594^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234570 + ... + 1239430.

Almost surely, 26013057000 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 6013057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7042412520).

6013057000 is an abundant number, since it is smaller than the sum of its proper divisors (8071768040).

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

6013057000 is a wasteful number, since it uses less digits than its factorization.

6013057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6105 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 6013057000 is about 77543.9036933272. The cubic root of 6013057000 is about 1818.4377569253.

The spelling of 6013057000 in words is "six billion, thirteen million, fifty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1237 2474 4861 4948 6185 9722 9896 12370 19444 24305 24740 30925 38888 48610 49480 61850 97220 121525 123700 154625 194440 243050 247400 309250 486100 607625 618500 972200 1215250 1237000 2430500 4861000 6013057 12026114 24052228 30065285 48104456 60130570 120261140 150326425 240522280 300652850 601305700 751632125 1202611400 1503264250 3006528500 6013057000