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6133842 = 23211132383
BaseRepresentation
bin10111011001100001010010
3102112122001100
4113121201102
53032240332
6335245230
7103064631
oct27314122
912478040
106133842
11350a4a0
122079816
131369bc0
14b59518
1581267c
hex5d9852

6133842 has 48 divisors (see below), whose sum is σ = 15619968. Its totient is φ = 1715040.

The previous prime is 6133837. The next prime is 6133843. The reversal of 6133842 is 2483316.

It is a happy number.

6133842 is a `hidden beast` number, since 613 + 3 + 8 + 42 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6133843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1383 + ... + 3765.

It is an arithmetic number, because the mean of its divisors is an integer number (325416).

Almost surely, 26133842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6133842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809984).

6133842 is an abundant number, since it is smaller than the sum of its proper divisors (9486126).

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

6133842 is a wasteful number, since it uses less digits than its factorization.

6133842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2412 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 6133842 is about 2476.6594436862. The cubic root of 6133842 is about 183.0532855668.

The spelling of 6133842 in words is "six million, one hundred thirty-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2383 2574 4766 7149 14298 21447 26213 30979 42894 52426 61958 78639 92937 157278 185874 235917 278811 340769 471834 557622 681538 1022307 2044614 3066921 6133842