Search a number
-
+
11296494 = 2321159967
BaseRepresentation
bin101011000101…
…111011101110
3210020220212200
4223011323232
510342441434
61042042330
7165006246
oct53057356
923226780
1011296494
116416250
1239493a6
132456a21
141700b26
15ed2199
hexac5eee

11296494 has 48 divisors (see below), whose sum is σ = 27181440. Its totient is φ = 3361680.

The previous prime is 11296477. The next prime is 11296499. The reversal of 11296494 is 49469211.

It is a happy number.

11296494 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 649 + 4 = 666.

It is a super-2 number, since 2×112964942 = 255221553384072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11296499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11199 + ... + 12165.

It is an arithmetic number, because the mean of its divisors is an integer number (566280).

Almost surely, 211296494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11296494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590720).

11296494 is an abundant number, since it is smaller than the sum of its proper divisors (15884946).

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

11296494 is a wasteful number, since it uses less digits than its factorization.

11296494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1042 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11296494 is about 3361.0257362894. The cubic root of 11296494 is about 224.3784922241.

The spelling of 11296494 in words is "eleven million, two hundred ninety-six thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 967 1062 1298 1934 1947 2901 3894 5802 5841 8703 10637 11682 17406 21274 31911 57053 63822 95733 114106 171159 191466 342318 513477 627583 1026954 1255166 1882749 3765498 5648247 11296494