Search a number
-
+
601398 = 23373743
BaseRepresentation
bin10010010110100110110
31010112222000
42102310312
5123221043
620520130
75053230
oct2226466
91115860
10601398
11380926
12250046
13180975
14119250
15bd2d3
hex92d36

601398 has 64 divisors (see below), whose sum is σ = 1605120. Its totient is φ = 163296.

The previous prime is 601397. The next prime is 601411. The reversal of 601398 is 893106.

601398 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 601398.

It is not an unprimeable number, because it can be changed into a prime (601397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13965 + ... + 14007.

It is an arithmetic number, because the mean of its divisors is an integer number (25080).

2601398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802560).

601398 is an abundant number, since it is smaller than the sum of its proper divisors (1003722).

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

601398 is a wasteful number, since it uses less digits than its factorization.

601398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 601398 is about 775.4985493217. The cubic root of 601398 is about 84.4087223228.

It can be divided in two parts, 601 and 398, that added together give a palindrome (999).

The spelling of 601398 in words is "six hundred one thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 43 54 63 74 86 111 126 129 189 222 258 259 301 333 378 387 518 602 666 774 777 903 999 1161 1554 1591 1806 1998 2322 2331 2709 3182 4662 4773 5418 6993 8127 9546 11137 13986 14319 16254 22274 28638 33411 42957 66822 85914 100233 200466 300699 601398