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6114144 = 25363689
BaseRepresentation
bin10111010100101101100000
3102111122000210
4113110231200
53031123034
6335014120
7102653331
oct27245540
912448023
106114144
1134a6713
12206a340
131360c4a
14b52288
1580b8e9
hex5d4b60

6114144 has 24 divisors (see below), whose sum is σ = 16049880. Its totient is φ = 2038016.

The previous prime is 6114083. The next prime is 6114149. The reversal of 6114144 is 4414116.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6114144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6114149) 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 3 ways as a sum of consecutive naturals, for example, 31749 + ... + 31940.

It is an arithmetic number, because the mean of its divisors is an integer number (668745).

Almost surely, 26114144 is an apocalyptic number.

It is an amenable number.

6114144 is an abundant number, since it is smaller than the sum of its proper divisors (9935736).

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

6114144 is a wasteful number, since it uses less digits than its factorization.

6114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63702 (or 63694 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 6114144 is about 2472.6795182554. The cubic root of 6114144 is about 182.8571251860.

The spelling of 6114144 in words is "six million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 63689 127378 191067 254756 382134 509512 764268 1019024 1528536 2038048 3057072 6114144