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36081396 = 22331331829
BaseRepresentation
bin1000100110100…
…0111011110100
32111220010101000
42021220323310
533214101041
63325203300
7615454401
oct211507364
974803330
1036081396
111940453a
1210100530
137624050
144b132a8
15327abb6
hex2268ef4

36081396 has 96 divisors (see below), whose sum is σ = 104115200. Its totient is φ = 10730880.

The previous prime is 36081379. The next prime is 36081413. The reversal of 36081396 is 69318063.

It is a happy number.

36081396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36081379) and next prime (36081413).

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

It is a self number, because there is not a number n which added to its sum of digits gives 36081396.

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 31 ways as a sum of consecutive naturals, for example, 43110 + ... + 43938.

Almost surely, 236081396 is an apocalyptic number.

36081396 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 36081396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52057600).

36081396 is an abundant number, since it is smaller than the sum of its proper divisors (68033804).

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

36081396 is a wasteful number, since it uses less digits than its factorization.

36081396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 878 counting only the distinct ones).

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

The square root of 36081396 is about 6006.7791702376. The cubic root of 36081396 is about 330.4413928211.

The spelling of 36081396 in words is "thirty-six million, eighty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 829 837 1116 1209 1404 1612 1658 1674 2418 2487 3316 3348 3627 4836 4974 7254 7461 9948 10777 10881 14508 14922 21554 21762 22383 25699 29844 32331 43108 43524 44766 51398 64662 77097 89532 96993 102796 129324 154194 193986 231291 290979 308388 334087 387972 462582 581958 668174 693873 925164 1002261 1163916 1336348 1387746 2004522 2775492 3006783 4009044 6013566 9020349 12027132 18040698 36081396