Search a number
-
+
11430300 = 2235275443
BaseRepresentation
bin101011100110…
…100110011100
3210111201102110
4223212212130
510411232200
61044554020
7166104330
oct53464634
923451373
1011430300
1164a7832
1239b2910
1324a28bb
1417377c0
15100bb50
hexae699c

11430300 has 72 divisors (see below), whose sum is σ = 37803136. Its totient is φ = 2612160.

The previous prime is 11430269. The next prime is 11430301. The reversal of 11430300 is 303411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11430301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 622 + ... + 4821.

Almost surely, 211430300 is an apocalyptic number.

11430300 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 11430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18901568).

11430300 is an abundant number, since it is smaller than the sum of its proper divisors (26372836).

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

11430300 is a wasteful number, since it uses less digits than its factorization.

11430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5467 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 11430300 is about 3380.8726684097. The cubic root of 11430300 is about 225.2609318490.

Adding to 11430300 its reverse (303411), we get a palindrome (11733711).

The spelling of 11430300 in words is "eleven million, four hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 5443 10886 16329 21772 27215 32658 38101 54430 65316 76202 81645 108860 114303 136075 152404 163290 190505 228606 272150 326580 381010 408225 457212 544300 571515 762020 816450 952525 1143030 1632900 1905050 2286060 2857575 3810100 5715150 11430300