Search a number
-
+
11330840 = 2351719877
BaseRepresentation
bin101011001110…
…010100011000
3210022122222202
4223032110120
510400041330
61042505332
7165211343
oct53162430
923278882
1011330840
11643a034
123965248
132469551
14170d45a
15edc445
hexace518

11330840 has 64 divisors (see below), whose sum is σ = 28447200. Its totient is φ = 4036608.

The previous prime is 11330827. The next prime is 11330899. The reversal of 11330840 is 4803311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12482 + ... + 13358.

Almost surely, 211330840 is an apocalyptic number.

11330840 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 11330840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14223600).

11330840 is an abundant number, since it is smaller than the sum of its proper divisors (17116360).

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

11330840 is a wasteful number, since it uses less digits than its factorization.

11330840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 11330840 is about 3366.1313105700. The cubic root of 11330840 is about 224.6056631954.

The spelling of 11330840 in words is "eleven million, three hundred thirty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 877 1292 1615 1754 2584 3230 3508 4385 6460 7016 8770 12920 14909 16663 17540 29818 33326 35080 59636 66652 74545 83315 119272 133304 149090 166630 283271 298180 333260 566542 596360 666520 1133084 1416355 2266168 2832710 5665420 11330840