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36086076 = 22321383929
BaseRepresentation
bin1000100110101…
…0000100111100
32111220100210100
42021222010330
533214223301
63325241100
7615504135
oct211520474
974810710
1036086076
1119408004
1210103190
137626210
144b14c8c
15327c286
hex226a13c

36086076 has 72 divisors (see below), whose sum is σ = 99524880. Its totient is φ = 10957824.

The previous prime is 36086069. The next prime is 36086101. The reversal of 36086076 is 67068063.

It is a happy number.

It is a super-4 number, since 4×360860764 (a number of 31 digits) contains 4444 as substring.

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 36086076.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38380 + ... + 39308.

It is an arithmetic number, because the mean of its divisors is an integer number (1382290).

Almost surely, 236086076 is an apocalyptic number.

36086076 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 36086076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49762440).

36086076 is an abundant number, since it is smaller than the sum of its proper divisors (63438804).

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

36086076 is a wasteful number, since it uses less digits than its factorization.

36086076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 36086076 is about 6007.1687174575. The cubic root of 36086076 is about 330.4556790280.

It can be divided in two parts, 360 and 86076, that added together give a square (86436 = 2942).

The spelling of 36086076 in words is "thirty-six million, eighty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 117 156 166 234 249 332 468 498 747 929 996 1079 1494 1858 2158 2787 2988 3237 3716 4316 5574 6474 8361 9711 11148 12077 12948 16722 19422 24154 33444 36231 38844 48308 72462 77107 108693 144924 154214 217386 231321 308428 434772 462642 693963 925284 1002391 1387926 2004782 2775852 3007173 4009564 6014346 9021519 12028692 18043038 36086076