Search a number
-
+
11830302 = 23211149401
BaseRepresentation
bin101101001000…
…010000011110
3211021001010100
4231020100132
511012032202
61101321530
7202361451
oct55102036
924231110
1011830302
116750310
123b662a6
1325b29a3
1417dd498
15108a41c
hexb4841e

11830302 has 48 divisors (see below), whose sum is σ = 28220400. Its totient is φ = 3552000.

The previous prime is 11830297. The next prime is 11830337. The reversal of 11830302 is 20303811.

It is a super-2 number, since 2×118303022 = 279912090822408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29302 + ... + 29702.

It is an arithmetic number, because the mean of its divisors is an integer number (587925).

Almost surely, 211830302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11830302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14110200).

11830302 is an abundant number, since it is smaller than the sum of its proper divisors (16390098).

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

11830302 is a wasteful number, since it uses less digits than its factorization.

11830302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11830302 is about 3439.5206061310. The cubic root of 11830302 is about 227.8585225709.

The spelling of 11830302 in words is "eleven million, eight hundred thirty thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 149 198 298 401 447 802 894 1203 1341 1639 2406 2682 3278 3609 4411 4917 7218 8822 9834 13233 14751 26466 29502 39699 59749 79398 119498 179247 358494 537741 657239 1075482 1314478 1971717 3943434 5915151 11830302