Search a number
-
+
6142304 = 257171613
BaseRepresentation
bin10111011011100101100000
3102120001122202
4113123211200
53033023204
6335352332
7103131410
oct27334540
912501582
106142304
113515893
1220826a8
1313709cc
14b5c640
15814e1e
hex5db960

6142304 has 48 divisors (see below), whose sum is σ = 14642208. Its totient is φ = 2476032.

The previous prime is 6142303. The next prime is 6142307. The reversal of 6142304 is 4032416.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3002 + ... + 4614.

It is an arithmetic number, because the mean of its divisors is an integer number (305046).

Almost surely, 26142304 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 6142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321104).

6142304 is an abundant number, since it is smaller than the sum of its proper divisors (8499904).

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

6142304 is a wasteful number, since it uses less digits than its factorization.

6142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 6142304 is about 2478.3672044312. The cubic root of 6142304 is about 183.1374245201.

It can be divided in two parts, 6142 and 304, that added together give a palindrome (6446).

The spelling of 6142304 in words is "six million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1613 1904 3226 3808 6452 11291 12904 22582 25808 27421 45164 51616 54842 90328 109684 180656 191947 219368 361312 383894 438736 767788 877472 1535576 3071152 6142304