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3986136 = 2332711719
BaseRepresentation
bin1111001101001011011000
321111111221200
433031023120
52010024021
6221234200
745611250
oct17151330
97444850
103986136
112282930
121402960
13a9747b
1475a960
1553b126
hex3cd2d8

3986136 has 96 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 1033920.

The previous prime is 3986113. The next prime is 3986159. The reversal of 3986136 is 6316893.

It is a happy number.

3986136 is a `hidden beast` number, since 39 + 8 + 613 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3986113) and next prime (3986159).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3986136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5185 + ... + 5903.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 23986136 is an apocalyptic number.

3986136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3986136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

3986136 is an abundant number, since it is smaller than the sum of its proper divisors (9492264).

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

3986136 is a wasteful number, since it uses less digits than its factorization.

3986136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 742 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3986136 is about 1996.5309914950. The cubic root of 3986136 is about 158.5564951675.

The spelling of 3986136 in words is "three million, nine hundred eighty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 719 792 924 1386 1438 1848 2157 2772 2876 4314 5033 5544 5752 6471 7909 8628 10066 12942 15099 15818 17256 20132 23727 25884 30198 31636 40264 45297 47454 51768 55363 60396 63272 71181 90594 94908 110726 120792 142362 166089 181188 189816 221452 284724 332178 362376 442904 498267 569448 664356 996534 1328712 1993068 3986136