Search a number
-
+
1129304 = 231141313
BaseRepresentation
bin100010011101101011000
32010101010002
410103231120
5242114204
640112132
712412301
oct4235530
92111102
101129304
11701510
12465648
13307037
142157a8
1517491e
hex113b58

1129304 has 32 divisors (see below), whose sum is σ = 2373840. Its totient is φ = 499200.

The previous prime is 1129283. The next prime is 1129307. The reversal of 1129304 is 4039211.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3452 + ... + 3764.

21129304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186920).

1129304 is an abundant number, since it is smaller than the sum of its proper divisors (1244536).

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

1129304 is a wasteful number, since it uses less digits than its factorization.

1129304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1129304 is about 1062.6871599864. The cubic root of 1129304 is about 104.1366546784.

The spelling of 1129304 in words is "one million, one hundred twenty-nine thousand, three hundred four".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 313 328 451 626 902 1252 1804 2504 3443 3608 6886 12833 13772 25666 27544 51332 102664 141163 282326 564652 1129304