Search a number
-
+
6113646 = 2327112401
BaseRepresentation
bin10111010100100101101110
3102111121100100
4113110211232
53031114041
6335011530
7102652020
oct27244556
912447310
106113646
1134a6300
122069ba6
131360956
14b52010
1580b6b6
hex5d496e

6113646 has 72 divisors (see below), whose sum is σ = 16681392. Its totient is φ = 1584000.

The previous prime is 6113623. The next prime is 6113663. The reversal of 6113646 is 6463116.

6113646 is a `hidden beast` number, since 6 + 1 + 13 + 646 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 15046 + ... + 15446.

It is an arithmetic number, because the mean of its divisors is an integer number (231686).

Almost surely, 26113646 is an apocalyptic number.

6113646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6113646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8340696).

6113646 is an abundant number, since it is smaller than the sum of its proper divisors (10567746).

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

6113646 is a wasteful number, since it uses less digits than its factorization.

6113646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 6113646 is about 2472.5788157307. The cubic root of 6113646 is about 182.8521604506.

The spelling of 6113646 in words is "six million, one hundred thirteen thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 401 462 693 726 802 847 1089 1203 1386 1694 2178 2406 2541 2807 3609 4411 5082 5614 7218 7623 8421 8822 13233 15246 16842 25263 26466 30877 39699 48521 50526 61754 79398 92631 97042 145563 185262 277893 291126 339647 436689 555786 679294 873378 1018941 2037882 3056823 6113646