Search a number
-
+
36011430 = 23257134397
BaseRepresentation
bin1000100101011…
…1110110100110
32111202120101200
42021113312212
533204331210
63323503330
7615043410
oct211276646
974676350
1036011430
1119366a14
1210087b46
1375cb250
144ad59b0
1532650c0
hex2257da6

36011430 has 96 divisors (see below), whose sum is σ = 115262784. Its totient is φ = 7596288.

The previous prime is 36011387. The next prime is 36011431. The reversal of 36011430 is 3411063.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36011431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5992 + ... + 10388.

It is an arithmetic number, because the mean of its divisors is an integer number (1200654).

Almost surely, 236011430 is an apocalyptic number.

36011430 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 36011430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57631392).

36011430 is an abundant number, since it is smaller than the sum of its proper divisors (79251354).

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

36011430 is a wasteful number, since it uses less digits than its factorization.

36011430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 36011430 is about 6000.9524244073. The cubic root of 36011430 is about 330.2276665884.

Adding to 36011430 its reverse (3411063), we get a palindrome (39422493).

The spelling of 36011430 in words is "thirty-six million, eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 4397 8190 8794 13191 21985 26382 30779 39573 43970 57161 61558 65955 79146 92337 114322 131910 153895 171483 184674 197865 277011 285805 307790 342966 395730 400127 461685 514449 554022 571610 800254 857415 923370 1028898 1200381 1385055 1714830 2000635 2400762 2572245 2770110 3601143 4001270 5144490 6001905 7202286 12003810 18005715 36011430