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4115132 = 227475359
BaseRepresentation
bin1111101100101010111100
321202001220022
433230222330
52023141012
6224111312
746656320
oct17545274
97661808
104115132
11236083a
121465538
13b110b8
14791980
15564472
hex3ecabc

4115132 has 48 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 1664832.

The previous prime is 4115131. The next prime is 4115141. The reversal of 4115132 is 2315114.

It is a super-2 number, since 2×41151322 = 33868622754848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4115132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115131) 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, 69719 + ... + 69777.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 24115132 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 4115132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

4115132 is an abundant number, since it is smaller than the sum of its proper divisors (4593988).

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

4115132 is a wasteful number, since it uses less digits than its factorization.

4115132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its digits is 120, while the sum is 17.

The square root of 4115132 is about 2028.5788128638. The cubic root of 4115132 is about 160.2487277237.

The spelling of 4115132 in words is "four million, one hundred fifteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 47 53 59 94 106 118 188 212 236 329 371 413 658 742 826 1316 1484 1652 2491 2773 3127 4982 5546 6254 9964 11092 12508 17437 19411 21889 34874 38822 43778 69748 77644 87556 146969 293938 587876 1028783 2057566 4115132