Search a number
-
+
1290328 = 231319653
BaseRepresentation
bin100111011000001011000
32102112222221
410323001120
5312242303
643353424
713652614
oct4730130
92375887
101290328
11801496
12522874
13362410
14258344
151a74bd
hex13b058

1290328 has 32 divisors (see below), whose sum is σ = 2746800. Its totient is φ = 563328.

The previous prime is 1290319. The next prime is 1290329. The reversal of 1290328 is 8230921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290329) 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, 1650 + ... + 2302.

21290328 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 1290328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373400).

1290328 is an abundant number, since it is smaller than the sum of its proper divisors (1456472).

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

1290328 is a wasteful number, since it uses less digits than its factorization.

1290328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1290328 is about 1135.9260539313. The cubic root of 1290328 is about 108.8679488325.

It can be divided in two parts, 129032 and 8, that multiplied together give a square (1032256 = 10162).

The spelling of 1290328 in words is "one million, two hundred ninety thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 653 988 1306 1976 2612 5224 8489 12407 16978 24814 33956 49628 67912 99256 161291 322582 645164 1290328