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1130900 = 225243263
BaseRepresentation
bin100010100000110010100
32010110022012
410110012110
5242142100
640123352
712420041
oct4240624
92113265
101130900
11702731
12466558
13307994
142161c8
15175135
hex114194

1130900 has 36 divisors (see below), whose sum is σ = 2520672. Its totient is φ = 440160.

The previous prime is 1130863. The next prime is 1130929. The reversal of 1130900 is 90311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4169 + ... + 4431.

21130900 is an apocalyptic number.

1130900 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 1130900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260336).

1130900 is an abundant number, since it is smaller than the sum of its proper divisors (1389772).

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

1130900 is a wasteful number, since it uses less digits than its factorization.

1130900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1130900 is about 1063.4378214075. The cubic root of 1130900 is about 104.1856889705.

It can be divided in two parts, 11 and 30900, that multiplied together give a triangular number (339900 = T824).

The spelling of 1130900 in words is "one million, one hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 263 430 526 860 1052 1075 1315 2150 2630 4300 5260 6575 11309 13150 22618 26300 45236 56545 113090 226180 282725 565450 1130900