Search a number
-
+
3080138580 = 2232519189591
BaseRepresentation
bin1011011110010111…
…0010111101010100
321221122211020210200
42313211302331110
522302003413310
61225350020500
7136220513601
oct26745627524
97848736720
103080138580
111340726782
1271b647730
133a1192a0c
142131076a8
151306239c0
hexb7972f54

3080138580 has 72 divisors (see below), whose sum is σ = 9392108544. Its totient is φ = 817060800.

The previous prime is 3080138533. The next prime is 3080138599. The reversal of 3080138580 is 858310803.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10416 + ... + 79175.

It is an arithmetic number, because the mean of its divisors is an integer number (130445952).

Almost surely, 23080138580 is an apocalyptic number.

3080138580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3080138580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696054272).

3080138580 is an abundant number, since it is smaller than the sum of its proper divisors (6311969964).

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

3080138580 is a wasteful number, since it uses less digits than its factorization.

3080138580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89797 (or 89792 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 3080138580 is about 55498.9962071387. The cubic root of 3080138580 is about 1454.9790906408.

The spelling of 3080138580 in words is "three billion, eighty million, one hundred thirty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3820 5730 6876 8595 11460 17190 34380 89591 179182 268773 358364 447955 537546 806319 895910 1075092 1343865 1612638 1791820 2687730 3225276 4031595 5375460 8063190 16126380 17111881 34223762 51335643 68447524 85559405 102671286 154006929 171118810 205342572 256678215 308013858 342237620 513356430 616027716 770034645 1026712860 1540069290 3080138580