Search a number
-
+
11733948 = 2232325943
BaseRepresentation
bin101100110000…
…101110111100
3211002010221200
4230300232330
511000441243
61055255500
7201510522
oct54605674
924063850
1011733948
116694986
123b1a590
13257ab85
1417b6312
15106bad3
hexb30bbc

11733948 has 18 divisors (see below), whose sum is σ = 29660904. Its totient is φ = 3911304.

The previous prime is 11733937. The next prime is 11733983. The reversal of 11733948 is 84933711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 325943 = 11733948 / (1 + 1 + 7 + 3 + 3 + 9 + 4 + 8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 162936 + ... + 163007.

It is an arithmetic number, because the mean of its divisors is an integer number (1647828).

Almost surely, 211733948 is an apocalyptic number.

11733948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11733948 is an abundant number, since it is smaller than the sum of its proper divisors (17926956).

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

11733948 is a wasteful number, since it uses less digits than its factorization.

11733948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325953 (or 325948 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 11733948 is about 3425.4850751390. The cubic root of 11733948 is about 227.2382240373.

The spelling of 11733948 in words is "eleven million, seven hundred thirty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 325943 651886 977829 1303772 1955658 2933487 3911316 5866974 11733948