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6311136 = 253132389
BaseRepresentation
bin11000000100110011100000
3102212122020210
4120010303200
53103424021
6343134120
7104433546
oct30046340
912778223
106311136
113620717
122144340
1313cc800
14ba3d96
15849e76
hex604ce0

6311136 has 72 divisors (see below), whose sum is σ = 17985240. Its totient is φ = 1936896.

The previous prime is 6311117. The next prime is 6311147.

6311136 is nontrivially palindromic in base 10.

6311136 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63111362 = 79660875220992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16030 + ... + 16418.

It is an arithmetic number, because the mean of its divisors is an integer number (249795).

Almost surely, 26311136 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 6311136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992620).

6311136 is an abundant number, since it is smaller than the sum of its proper divisors (11674104).

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

6311136 is a wasteful number, since it uses less digits than its factorization.

6311136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 407 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 6311136 is about 2512.1974444697. The cubic root of 6311136 is about 184.8002323792.

The spelling of 6311136 in words is "six million, three hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 389 416 507 624 676 778 1014 1167 1248 1352 1556 2028 2334 2704 3112 4056 4668 5057 5408 6224 8112 9336 10114 12448 15171 16224 18672 20228 30342 37344 40456 60684 65741 80912 121368 131482 161824 197223 242736 262964 394446 485472 525928 788892 1051856 1577784 2103712 3155568 6311136