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6142336 = 27471021
BaseRepresentation
bin10111011011100110000000
3102120001200221
4113123212000
53033023321
6335352424
7103131454
oct27334600
912501627
106142336
113515912
122082714
131370a25
14b5c664
15814e41
hex5db980

6142336 has 32 divisors (see below), whose sum is σ = 12509280. Its totient is φ = 3002880.

The previous prime is 6142327. The next prime is 6142343. The reversal of 6142336 is 6332416.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 6142336.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5506 + ... + 6526.

It is an arithmetic number, because the mean of its divisors is an integer number (390915).

Almost surely, 26142336 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 6142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254640).

6142336 is an abundant number, since it is smaller than the sum of its proper divisors (6366944).

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

6142336 is a wasteful number, since it uses less digits than its factorization.

6142336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1070 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 6142336 is about 2478.3736602861. The cubic root of 6142336 is about 183.1377425543.

The spelling of 6142336 in words is "six million, one hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1021 1504 2042 3008 4084 6016 8168 16336 32672 47987 65344 95974 130688 191948 383896 767792 1535584 3071168 6142336