Search a number
-
+
601146 = 232713367
BaseRepresentation
bin10010010110000111010
31010112121200
42102300322
5123214041
620515030
75052420
oct2226072
91115550
10601146
11380717
1224ba76
13180810
14119110
15bd1b6
hex92c3a

601146 has 48 divisors (see below), whose sum is σ = 1607424. Its totient is φ = 158112.

The previous prime is 601127. The next prime is 601147. The reversal of 601146 is 641106.

It is a super-2 number, since 2×6011462 = 722753026632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455 + ... + 1821.

It is an arithmetic number, because the mean of its divisors is an integer number (33488).

2601146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803712).

601146 is an abundant number, since it is smaller than the sum of its proper divisors (1006278).

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

601146 is a wasteful number, since it uses less digits than its factorization.

601146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 601146 is about 775.3360561718. The cubic root of 601146 is about 84.3969309247.

It can be divided in two parts, 601 and 146, that added together give a palindrome (747).

The spelling of 601146 in words is "six hundred one thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 367 546 734 819 1101 1638 2202 2569 3303 4771 5138 6606 7707 9542 14313 15414 23121 28626 33397 42939 46242 66794 85878 100191 200382 300573 601146