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36113142 = 23131074327
BaseRepresentation
bin1000100111000…
…0101011110110
32111221201220210
42021300223312
533221110032
63330010250
7615646062
oct211605366
974851823
1036113142
111942637a
1210116986
137635630
144b20aa2
1532852cc
hex2270af6

36113142 has 32 divisors (see below), whose sum is σ = 78527232. Its totient is φ = 11005344.

The previous prime is 36113137. The next prime is 36113177. The reversal of 36113142 is 24131163.

36113142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×361131423 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 6183 + ... + 10509.

It is an arithmetic number, because the mean of its divisors is an integer number (2453976).

Almost surely, 236113142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36113142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39263616).

36113142 is an abundant number, since it is smaller than the sum of its proper divisors (42414090).

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

36113142 is a wasteful number, since it uses less digits than its factorization.

36113142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452.

The product of its digits is 432, while the sum is 21.

The square root of 36113142 is about 6009.4211035673. The cubic root of 36113142 is about 330.5382767054.

The spelling of 36113142 in words is "thirty-six million, one hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 107 214 321 642 1391 2782 4173 4327 8346 8654 12981 25962 56251 112502 168753 337506 462989 925978 1388967 2777934 6018857 12037714 18056571 36113142