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36064050 = 23521121987
BaseRepresentation
bin1000100110010…
…0101100110010
32111212020120120
42021210230302
533213022200
63324551110
7615353001
oct211445462
974766516
1036064050
11193a2500
12100b2496
137619199
144b0ac38
1532759a0
hex2264b32

36064050 has 72 divisors (see below), whose sum is σ = 98358288. Its totient is φ = 8738400.

The previous prime is 36064043. The next prime is 36064073. The reversal of 36064050 is 5046063.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36064050.

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 35 ways as a sum of consecutive naturals, for example, 17157 + ... + 19143.

Almost surely, 236064050 is an apocalyptic number.

36064050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36064050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49179144).

36064050 is an abundant number, since it is smaller than the sum of its proper divisors (62294238).

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

36064050 is a wasteful number, since it uses less digits than its factorization.

36064050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 36064050 is about 6005.3351280341. The cubic root of 36064050 is about 330.3884315003.

The spelling of 36064050 in words is "thirty-six million, sixty-four thousand, fifty", and thus it is an eban number.

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 605 726 825 1210 1650 1815 1987 3025 3630 3974 5961 6050 9075 9935 11922 18150 19870 21857 29805 43714 49675 59610 65571 99350 109285 131142 149025 218570 240427 298050 327855 480854 546425 655710 721281 1092850 1202135 1442562 1639275 2404270 3278550 3606405 6010675 7212810 12021350 18032025 36064050