Search a number
-
+
8380000836 = 2232734616917
BaseRepresentation
bin1111100110111110…
…01010101001000100
3210122000110011001100
413303133022221010
5114130240011321
63503312300100
7414443555214
oct76337125104
923560404040
108380000836
113610323729
12175a541630
13a371a179c
14596d44244
15340a5d326
hex1f37caa44

8380000836 has 72 divisors (see below), whose sum is σ = 21522645144. Its totient is φ = 2748695040.

The previous prime is 8380000831. The next prime is 8380000841. The reversal of 8380000836 is 6380000838.

It is an interprime number because it is at equal distance from previous prime (8380000831) and next prime (8380000841).

It can be written as a sum of positive squares in 4 ways, for example, as 1329039936 + 7050960900 = 36456^2 + 83970^2 .

It is a super-2 number, since 2×83800008362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8380000836.

It is not an unprimeable number, because it can be changed into a prime (8380000831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1208050 + ... + 1214966.

It is an arithmetic number, because the mean of its divisors is an integer number (298925627).

Almost surely, 28380000836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8380000836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10761322572).

8380000836 is an abundant number, since it is smaller than the sum of its proper divisors (13142644308).

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

8380000836 is a wasteful number, since it uses less digits than its factorization.

8380000836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7461 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8380000836 is about 91542.3444969594. The cubic root of 8380000836 is about 2031.1781715085.

The spelling of 8380000836 in words is "eight billion, three hundred eighty million, eight hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 461 657 876 922 1314 1383 1844 2628 2766 4149 5532 6917 8298 13834 16596 20751 27668 33653 41502 62253 67306 83004 100959 124506 134612 201918 249012 302877 403836 504941 605754 1009882 1211508 1514823 2019764 3029646 3188737 4544469 6059292 6377474 9088938 9566211 12754948 18177876 19132422 28698633 38264844 57397266 114794532 232777801 465555602 698333403 931111204 1396666806 2095000209 2793333612 4190000418 8380000836