Search a number
-
+
6036642 = 232192929
BaseRepresentation
bin10111000001110010100010
3102100200201100
4113001302202
53021133032
6333215230
7102211353
oct27016242
912320640
106036642
113453467
122031516
1313348a1
14b31d2a
157e397c
hex5c1ca2

6036642 has 36 divisors (see below), whose sum is σ = 13818870. Its totient is φ = 1904256.

The previous prime is 6036637. The next prime is 6036659. The reversal of 6036642 is 2466306.

It can be written as a sum of positive squares in only one way, i.e., 6007401 + 29241 = 2451^2 + 171^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6034 + ... + 6962.

Almost surely, 26036642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6036642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909435).

6036642 is an abundant number, since it is smaller than the sum of its proper divisors (7782228).

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

6036642 is a wasteful number, since it uses less digits than its factorization.

6036642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6036642 is about 2456.9578750968. The cubic root of 6036642 is about 182.0812140060.

The spelling of 6036642 in words is "six million, thirty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 929 1083 1858 2166 2787 3249 5574 6498 8361 16722 17651 35302 52953 105906 158859 317718 335369 670738 1006107 2012214 3018321 6036642