Search a number
-
+
38165380 = 22511283613
BaseRepresentation
bin1001000110010…
…1101110000100
32122211000001121
42101211232010
534232243010
63442003324
7642254221
oct221455604
978730047
1038165380
111a5a8240
1210946544
137ba3786
1450d6948
15353d3da
hex2465b84

38165380 has 48 divisors (see below), whose sum is σ = 87885504. Its totient is φ = 13806720.

The previous prime is 38165377. The next prime is 38165399. The reversal of 38165380 is 8356183.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61954 + ... + 62566.

It is an arithmetic number, because the mean of its divisors is an integer number (1830948).

Almost surely, 238165380 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 38165380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43942752).

38165380 is an abundant number, since it is smaller than the sum of its proper divisors (49720124).

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

38165380 is a wasteful number, since it uses less digits than its factorization.

38165380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 38165380 is about 6177.8135290732. The cubic root of 38165380 is about 336.6845572081.

The spelling of 38165380 in words is "thirty-eight million, one hundred sixty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 283 566 613 1132 1226 1415 2452 2830 3065 3113 5660 6130 6226 6743 12260 12452 13486 15565 26972 31130 33715 62260 67430 134860 173479 346958 693916 867395 1734790 1908269 3469580 3816538 7633076 9541345 19082690 38165380