Search a number
-
+
36866130 = 2357231809
BaseRepresentation
bin1000110010100…
…0100001010010
32120100222211020
42030220201102
533414204010
63354100310
7625233300
oct214504122
976328736
1036866130
11198a0084
121041a696
13783a2a2
144c79270
153383470
hex2328852

36866130 has 96 divisors (see below), whose sum is σ = 106375680. Its totient is φ = 8144640.

The previous prime is 36866129. The next prime is 36866153. The reversal of 36866130 is 3166863.

It is a super-2 number, since 2×368661302 = 2718223082353800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 36866091 and 36866100.

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, 45166 + ... + 45974.

It is an arithmetic number, because the mean of its divisors is an integer number (1108080).

Almost surely, 236866130 is an apocalyptic number.

36866130 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 36866130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53187840).

36866130 is an abundant number, since it is smaller than the sum of its proper divisors (69509550).

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

36866130 is a wasteful number, since it uses less digits than its factorization.

36866130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 36866130 is about 6071.7485125786. The cubic root of 36866130 is about 332.8198215454.

The spelling of 36866130 in words is "thirty-six million, eight hundred sixty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 310 434 465 490 651 735 809 930 1085 1302 1470 1519 1618 2170 2427 3038 3255 4045 4557 4854 5663 6510 7595 8090 9114 11326 12135 15190 16989 22785 24270 25079 28315 33978 39641 45570 50158 56630 75237 79282 84945 118923 125395 150474 169890 175553 198205 237846 250790 351106 376185 396410 526659 594615 752370 877765 1053318 1189230 1228871 1755530 2457742 2633295 3686613 5266590 6144355 7373226 12288710 18433065 36866130