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238979130 = 235131016067
BaseRepresentation
bin11100011111010…
…00100000111010
3121122200101201220
432033220200322
5442134313010
635414052510
75631201105
oct1617504072
9548611656
10238979130
11112996615
126804a136
133a684290
1423a4b73c
1515ea8970
hexe3e883a

238979130 has 64 divisors (see below), whose sum is σ = 623887488. Its totient is φ = 58233600.

The previous prime is 238979129. The next prime is 238979137. The reversal of 238979130 is 31979832.

238979130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2389791302 = 114222049151113800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (238979137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36357 + ... + 42423.

It is an arithmetic number, because the mean of its divisors is an integer number (9748242).

Almost surely, 2238979130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238979130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311943744).

238979130 is an abundant number, since it is smaller than the sum of its proper divisors (384908358).

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

238979130 is a wasteful number, since it uses less digits than its factorization.

238979130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 238979130 is about 15458.9498349662. The cubic root of 238979130 is about 620.5641154351.

The spelling of 238979130 in words is "two hundred thirty-eight million, nine hundred seventy-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 101 130 195 202 303 390 505 606 1010 1313 1515 2626 3030 3939 6067 6565 7878 12134 13130 18201 19695 30335 36402 39390 60670 78871 91005 157742 182010 236613 394355 473226 612767 788710 1183065 1225534 1838301 2366130 3063835 3676602 6127670 7965971 9191505 15931942 18383010 23897913 39829855 47795826 79659710 119489565 238979130