Search a number
-
+
36204990 = 23523137383
BaseRepresentation
bin1000101000011…
…1000110111110
32112010101220120
42022013012332
533232024430
63331555410
7616510623
oct212070676
975111816
1036204990
1119489388
121015bb66
137668393
144b4634a
1532a2610
hex22871be

36204990 has 64 divisors (see below), whose sum is σ = 91570176. Its totient is φ = 9143552.

The previous prime is 36204947. The next prime is 36204997. The reversal of 36204990 is 9940263.

36204990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36204997) 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 31 ways as a sum of consecutive naturals, for example, 94339 + ... + 94721.

It is an arithmetic number, because the mean of its divisors is an integer number (1430784).

Almost surely, 236204990 is an apocalyptic number.

36204990 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 36204990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45785088).

36204990 is an abundant number, since it is smaller than the sum of its proper divisors (55365186).

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

36204990 is a wasteful number, since it uses less digits than its factorization.

36204990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 36204990 is about 6017.0582513384. The cubic root of 36204990 is about 330.8182632170.

The spelling of 36204990 in words is "thirty-six million, two hundred four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 137 138 230 274 345 383 411 685 690 766 822 1149 1370 1915 2055 2298 3151 3830 4110 5745 6302 8809 9453 11490 15755 17618 18906 26427 31510 44045 47265 52471 52854 88090 94530 104942 132135 157413 262355 264270 314826 524710 787065 1206833 1574130 2413666 3620499 6034165 7240998 12068330 18102495 36204990