[go: up one dir, main page]

Search a number
-
+
11304040 = 23511231117
BaseRepresentation
bin101011000111…
…110001101000
3210021022020011
4223013301220
510343212130
61042141304
7165040246
oct53076150
923238204
1011304040
116420990
123951834
13245a2a7
141703796
15ed452a
hexac7c68

11304040 has 64 divisors (see below), whose sum is σ = 28978560. Its totient is φ = 3928320.

The previous prime is 11304001. The next prime is 11304049. The reversal of 11304040 is 4040311.

11304040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×113040403 (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11304040.

It is not an unprimeable number, because it can be changed into a prime (11304049) 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, 9562 + ... + 10678.

It is an arithmetic number, because the mean of its divisors is an integer number (452790).

Almost surely, 211304040 is an apocalyptic number.

11304040 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 11304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14489280).

11304040 is an abundant number, since it is smaller than the sum of its proper divisors (17674520).

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

11304040 is a wasteful number, since it uses less digits than its factorization.

11304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 11304040 is about 3362.1481228524. The cubic root of 11304040 is about 224.4284423305.

Adding to 11304040 its reverse (4040311), we get a palindrome (15344351).

The spelling of 11304040 in words is "eleven million, three hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1117 1265 2024 2234 2530 4468 5060 5585 8936 10120 11170 12287 22340 24574 25691 44680 49148 51382 61435 98296 102764 122870 128455 205528 245740 256910 282601 491480 513820 565202 1027640 1130404 1413005 2260808 2826010 5652020 11304040