Search a number
-
+
38727090 = 23254310007
BaseRepresentation
bin1001001110111…
…0110110110010
32200212112120200
42103232312302
534403231330
63502020030
7650113653
oct223566662
980775520
1038727090
111a951266
1210b77616
13803c34c
14520152a
1535eea60
hex24eedb2

38727090 has 48 divisors (see below), whose sum is σ = 103042368. Its totient is φ = 10086048.

The previous prime is 38727089. The next prime is 38727097. The reversal of 38727090 is 9072783.

38727090 is a `hidden beast` number, since 387 + 270 + 9 + 0 = 666.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (38727097) 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, 1134 + ... + 8873.

It is an arithmetic number, because the mean of its divisors is an integer number (2146716).

Almost surely, 238727090 is an apocalyptic number.

38727090 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 38727090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51521184).

38727090 is an abundant number, since it is smaller than the sum of its proper divisors (64315278).

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

38727090 is a wasteful number, since it uses less digits than its factorization.

38727090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10063 (or 10060 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 38727090 is about 6223.1093514416. The cubic root of 38727090 is about 338.3282701780.

The spelling of 38727090 in words is "thirty-eight million, seven hundred twenty-seven thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 10007 20014 30021 50035 60042 90063 100070 150105 180126 300210 430301 450315 860602 900630 1290903 2151505 2581806 3872709 4303010 6454515 7745418 12909030 19363545 38727090