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36231090 = 23574503
BaseRepresentation
bin1000101000110…
…1011110110010
32112011201201020
42022031132302
533233343330
63332320310
7616650000
oct212153662
975151636
1036231090
11194a6a55
1210173096
13767721c
144b51a70
1532aa210
hex228d7b2

36231090 has 80 divisors (see below), whose sum is σ = 101642688. Its totient is φ = 8264928.

The previous prime is 36231053. The next prime is 36231113. The reversal of 36231090 is 9013263.

36231090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36231090.

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 39 ways as a sum of consecutive naturals, for example, 71779 + ... + 72281.

Almost surely, 236231090 is an apocalyptic number.

36231090 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 36231090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50821344).

36231090 is an abundant number, since it is smaller than the sum of its proper divisors (65411598).

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

36231090 is an equidigital number, since it uses as much as digits as its factorization.

36231090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 36231090 is about 6019.2266945182. The cubic root of 36231090 is about 330.8977392107.

The spelling of 36231090 in words is "thirty-six million, two hundred thirty-one thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 503 686 735 1006 1029 1470 1509 1715 2058 2401 2515 3018 3430 3521 4802 5030 5145 7042 7203 7545 10290 10563 12005 14406 15090 17605 21126 24010 24647 35210 36015 49294 52815 72030 73941 105630 123235 147882 172529 246470 345058 369705 517587 739410 862645 1035174 1207703 1725290 2415406 2587935 3623109 5175870 6038515 7246218 12077030 18115545 36231090