Search a number
-
+
1305460 = 225135021
BaseRepresentation
bin100111110101101110100
32110022202101
410332231310
5313233320
643551444
714045002
oct4765564
92408671
101305460
118118a2
1252b584
13369280
1425da72
151abc0a
hex13eb74

1305460 has 24 divisors (see below), whose sum is σ = 2952936. Its totient is φ = 481920.

The previous prime is 1305449. The next prime is 1305511. The reversal of 1305460 is 645031.

It can be written as a sum of positive squares in 4 ways, for example, as 164836 + 1140624 = 406^2 + 1068^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2251 + ... + 2770.

It is an arithmetic number, because the mean of its divisors is an integer number (123039).

21305460 is an apocalyptic number.

1305460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305460 is an abundant number, since it is smaller than the sum of its proper divisors (1647476).

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

1305460 is a wasteful number, since it uses less digits than its factorization.

1305460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1305460 is about 1142.5672846708. The cubic root of 1305460 is about 109.2918698945.

The spelling of 1305460 in words is "one million, three hundred five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5021 10042 20084 25105 50210 65273 100420 130546 261092 326365 652730 1305460