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3133936 = 241321961
BaseRepresentation
bin1011111101000111110000
312220012221201
423331013300
51300241221
6151100544
735431561
oct13750760
95805851
103133936
111850633
121071754
13859600
145b8168
1541d891
hex2fd1f0

3133936 has 60 divisors (see below), whose sum is σ = 7034520. Its totient is φ = 1347840.

The previous prime is 3133931. The next prime is 3133939. The reversal of 3133936 is 6393313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133931) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 51346 + ... + 51406.

It is an arithmetic number, because the mean of its divisors is an integer number (117242).

Almost surely, 23133936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517260).

3133936 is an abundant number, since it is smaller than the sum of its proper divisors (3900584).

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

3133936 is a wasteful number, since it uses less digits than its factorization.

3133936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its digits is 4374, while the sum is 28.

The square root of 3133936 is about 1770.2926311771. The cubic root of 3133936 is about 146.3401090787.

It can be divided in two parts, 31339 and 36, that added together give a triangular number (31375 = T250).

The spelling of 3133936 in words is "three million, one hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 61 76 104 122 152 169 208 244 247 304 338 488 494 676 793 976 988 1159 1352 1586 1976 2318 2704 3172 3211 3952 4636 6344 6422 9272 10309 12688 12844 15067 18544 20618 25688 30134 41236 51376 60268 82472 120536 164944 195871 241072 391742 783484 1566968 3133936