Search a number
-
+
11093640 = 2335193479
BaseRepresentation
bin101010010100…
…011010001000
3202212121121120
4222110122020
510314444030
61033435240
7163202655
oct52243210
922777546
1011093640
1162978a8
12386bb20
1323b55ac
14168ac2c
15e92010
hexa94688

11093640 has 64 divisors (see below), whose sum is σ = 33523200. Its totient is φ = 2936832.

The previous prime is 11093633. The next prime is 11093647. The reversal of 11093640 is 4639011.

It is an interprime number because it is at equal distance from previous prime (11093633) and next prime (11093647).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11093640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11093647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22921 + ... + 23399.

It is an arithmetic number, because the mean of its divisors is an integer number (523800).

Almost surely, 211093640 is an apocalyptic number.

11093640 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 11093640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16761600).

11093640 is an abundant number, since it is smaller than the sum of its proper divisors (22429560).

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

11093640 is a wasteful number, since it uses less digits than its factorization.

11093640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 11093640 is about 3330.7116356719. The cubic root of 11093640 is about 223.0272979647.

The spelling of 11093640 in words is "eleven million, ninety-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 479 579 772 958 965 1158 1437 1544 1916 1930 2316 2395 2874 2895 3832 3860 4632 4790 5748 5790 7185 7720 9580 11496 11580 14370 19160 23160 28740 57480 92447 184894 277341 369788 462235 554682 739576 924470 1109364 1386705 1848940 2218728 2773410 3697880 5546820 11093640