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6115240 = 235172232
BaseRepresentation
bin10111010100111110101000
3102111200112101
4113110332220
53031141430
6335023144
7102656455
oct27247650
912450471
106115240
1134a751a
12206aab4
1313615b1
14b5282c
1580bdca
hex5d4fa8

6115240 has 72 divisors (see below), whose sum is σ = 15279390. Its totient is φ = 2202112.

The previous prime is 6115237. The next prime is 6115253. The reversal of 6115240 is 425116.

It can be written as a sum of positive squares in 3 ways, for example, as 5943844 + 171396 = 2438^2 + 414^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 265869 + ... + 265891.

Almost surely, 26115240 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 6115240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7639695).

6115240 is an abundant number, since it is smaller than the sum of its proper divisors (9164150).

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

6115240 is a wasteful number, since it uses less digits than its factorization.

6115240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 6115240 is about 2472.9011302517. The cubic root of 6115240 is about 182.8680506421.

The spelling of 6115240 in words is "six million, one hundred fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 289 340 391 460 529 578 680 782 920 1058 1156 1445 1564 1955 2116 2312 2645 2890 3128 3910 4232 5290 5780 6647 7820 8993 10580 11560 13294 15640 17986 21160 26588 33235 35972 44965 53176 66470 71944 89930 132940 152881 179860 265880 305762 359720 611524 764405 1223048 1528810 3057620 6115240