Search a number
-
+
36163260 = 2235571063
BaseRepresentation
bin1000100111110…
…0111010111100
32112001021200000
42021330322330
533224211020
63331034300
7616245150
oct211747274
975037600
1036163260
111945aaa1
121013b990
1376523a3
144b35060
153295090
hex227cebc

36163260 has 144 divisors (see below), whose sum is σ = 130131456. Its totient is φ = 8258112.

The previous prime is 36163247. The next prime is 36163313. The reversal of 36163260 is 6236163.

36163260 is a nontrivial binomial coefficient, being equal to C(8505, 2).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33489 + ... + 34551.

Almost surely, 236163260 is an apocalyptic number.

36163260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36163260 is the 8504-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36163260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65065728).

36163260 is an abundant number, since it is smaller than the sum of its proper divisors (93968196).

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

36163260 is a wasteful number, since it uses less digits than its factorization.

36163260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36163260 is about 6013.5896102079. The cubic root of 36163260 is about 330.6911135852.

The spelling of 36163260 in words is "thirty-six million, one hundred sixty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1063 1134 1215 1260 1620 1701 1890 2126 2268 2430 2835 3189 3402 3780 4252 4860 5315 5670 6378 6804 7441 8505 9567 10630 11340 12756 14882 15945 17010 19134 21260 22323 28701 29764 31890 34020 37205 38268 44646 47835 57402 63780 66969 74410 86103 89292 95670 111615 114804 133938 143505 148820 172206 191340 200907 223230 258309 267876 287010 334845 344412 401814 430515 446460 516618 574020 602721 669690 803628 861030 1004535 1033236 1205442 1291545 1339380 1722060 1808163 2009070 2410884 2583090 3013605 3616326 4018140 5166180 6027210 7232652 9040815 12054420 18081630 36163260