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36075340 = 22571671543
BaseRepresentation
bin1000100110011…
…1011101001100
32111212211001201
42021213131030
533213402330
63325115244
7615430630
oct211473514
974784051
1036075340
11193aaa34
12100b8b24
137621372
144b10dc0
153278eca
hex226774c

36075340 has 48 divisors (see below), whose sum is σ = 87155712. Its totient is φ = 12286656.

The previous prime is 36075337. The next prime is 36075341. The reversal of 36075340 is 4357063.

36075340 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-2 number, since 2×360753402 = 2602860312231200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 36075299 and 36075308.

It is not an unprimeable number, because it can be changed into a prime (36075341) by changing a digit.

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, 22609 + ... + 24151.

It is an arithmetic number, because the mean of its divisors is an integer number (1815744).

Almost surely, 236075340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36075340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43577856).

36075340 is an abundant number, since it is smaller than the sum of its proper divisors (51080372).

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

36075340 is a wasteful number, since it uses less digits than its factorization.

36075340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 36075340 is about 6006.2750519769. The cubic root of 36075340 is about 330.4229043916.

The spelling of 36075340 in words is "thirty-six million, seventy-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 334 668 835 1169 1543 1670 2338 3086 3340 4676 5845 6172 7715 10801 11690 15430 21602 23380 30860 43204 54005 108010 216020 257681 515362 1030724 1288405 1803767 2576810 3607534 5153620 7215068 9018835 18037670 36075340