Search a number
-
+
1146390 = 235753103
BaseRepresentation
bin100010111111000010110
32011020112220
410113320112
5243141030
640323210
712513150
oct4277026
92136486
101146390
11713333
12473506
13311a4b
1421bad0
15179a10
hex117e16

1146390 has 64 divisors (see below), whose sum is σ = 3234816. Its totient is φ = 254592.

The previous prime is 1146367. The next prime is 1146391. The reversal of 1146390 is 936411.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1146390.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146391) 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 31 ways as a sum of consecutive naturals, for example, 11079 + ... + 11181.

It is an arithmetic number, because the mean of its divisors is an integer number (50544).

21146390 is an apocalyptic number.

1146390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617408).

1146390 is an abundant number, since it is smaller than the sum of its proper divisors (2088426).

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

1146390 is a wasteful number, since it uses less digits than its factorization.

1146390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1146390 is about 1070.6960352967. The cubic root of 1146390 is about 104.6592125993.

The spelling of 1146390 in words is "one million, one hundred forty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 103 105 106 159 206 210 265 309 318 371 515 530 618 721 742 795 1030 1113 1442 1545 1590 1855 2163 2226 3090 3605 3710 4326 5459 5565 7210 10815 10918 11130 16377 21630 27295 32754 38213 54590 76426 81885 114639 163770 191065 229278 382130 573195 1146390