Search a number
-
+
1330100 = 225247283
BaseRepresentation
bin101000100101110110100
32111120112222
411010232310
5320030400
644301512
714206562
oct5045664
92446488
101330100
11829362
12541898
13377555
14268a32
151b4185
hex144bb4

1330100 has 36 divisors (see below), whose sum is σ = 2958144. Its totient is φ = 518880.

The previous prime is 1330093. The next prime is 1330103. The reversal of 1330100 is 10331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4559 + ... + 4841.

21330100 is an apocalyptic number.

1330100 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 1330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479072).

1330100 is an abundant number, since it is smaller than the sum of its proper divisors (1628044).

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

1330100 is a wasteful number, since it uses less digits than its factorization.

1330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 1330100 is about 1153.2996141506. The cubic root of 1330100 is about 109.9752010212.

Adding to 1330100 its reverse (10331), we get a palindrome (1340431).

The spelling of 1330100 in words is "one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 283 470 566 940 1132 1175 1415 2350 2830 4700 5660 7075 13301 14150 26602 28300 53204 66505 133010 266020 332525 665050 1330100