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36112140 = 22325439457
BaseRepresentation
bin1000100111000…
…0011100001100
32111221200112200
42021300130030
533221042030
63330001500
7615643131
oct211603414
974850480
1036112140
1119425649
1210116290
13763503c
144b20588
153284d60
hex227070c

36112140 has 72 divisors (see below), whose sum is σ = 110029920. Its totient is φ = 9586944.

The previous prime is 36112127. The next prime is 36112157. The reversal of 36112140 is 4121163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 78792 + ... + 79248.

Almost surely, 236112140 is an apocalyptic number.

36112140 is a gapful number since it is divisible by the number (30) 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 36112140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55014960).

36112140 is an abundant number, since it is smaller than the sum of its proper divisors (73917780).

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

36112140 is a wasteful number, since it uses less digits than its factorization.

36112140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 36112140 is about 6009.3377338938. The cubic root of 36112140 is about 330.5352196242.

The spelling of 36112140 in words is "thirty-six million, one hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 439 457 878 914 1317 1371 1756 1828 2195 2285 2634 2742 3951 4113 4390 4570 5268 5484 6585 6855 7902 8226 8780 9140 13170 13710 15804 16452 19755 20565 26340 27420 39510 41130 79020 82260 200623 401246 601869 802492 1003115 1203738 1805607 2006230 2407476 3009345 3611214 4012460 6018690 7222428 9028035 12037380 18056070 36112140