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1146260 = 225371549
BaseRepresentation
bin100010111110110010100
32011020101002
410113312110
5243140020
640322432
712512603
oct4276624
92136332
101146260
11713225
12473418
1331197b
1421ba3a
15179975
hex117d94

1146260 has 24 divisors (see below), whose sum is σ = 2473800. Its totient is φ = 445824.

The previous prime is 1146221. The next prime is 1146263. The reversal of 1146260 is 626411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 232324 + 913936 = 482^2 + 956^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146263) 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 7 ways as a sum of consecutive naturals, for example, 35 + ... + 1514.

It is an arithmetic number, because the mean of its divisors is an integer number (103075).

21146260 is an apocalyptic number.

1146260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236900).

1146260 is an abundant number, since it is smaller than the sum of its proper divisors (1327540).

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

1146260 is a wasteful number, since it uses less digits than its factorization.

1146260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1146260 is about 1070.6353254026. The cubic root of 1146260 is about 104.6552563505.

The spelling of 1146260 in words is "one million, one hundred forty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1549 3098 6196 7745 15490 30980 57313 114626 229252 286565 573130 1146260