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3133116 = 2232712433
BaseRepresentation
bin1011111100111010111100
312220011211100
423330322330
51300224431
6151053100
735426310
oct13747274
95804740
103133116
11184aa58
121071190
1385911c
145b7b40
1541d4e6
hex2fcebc

3133116 has 36 divisors (see below), whose sum is σ = 9051952. Its totient is φ = 895104.

The previous prime is 3133111. The next prime is 3133153. The reversal of 3133116 is 6113313.

3133116 = T459 + T460 + ... + T486.

3133116 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5965 + ... + 6468.

Almost surely, 23133116 is an apocalyptic number.

3133116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3133116 is an abundant number, since it is smaller than the sum of its proper divisors (5918836).

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

3133116 is a wasteful number, since it uses less digits than its factorization.

3133116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12450 (or 12445 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 3133116 is about 1770.0610158975. The cubic root of 3133116 is about 146.3273445810.

Adding to 3133116 its reverse (6113313), we get a palindrome (9246429).

It can be divided in two parts, 3133 and 116, that added together give a square (3249 = 572).

The spelling of 3133116 in words is "three million, one hundred thirty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 12433 24866 37299 49732 74598 87031 111897 149196 174062 223794 261093 348124 447588 522186 783279 1044372 1566558 3133116