Search a number
-
+
38615130 = 23655297
BaseRepresentation
bin1001001101001…
…1100001011010
32200122212000000
42103103201122
534341141010
63455353430
7646136361
oct223234132
980585000
1038615130
111a885134
1210b22876
1380003b8
1451b27d8
1535cb7c0
hex24d385a

38615130 has 56 divisors (see below), whose sum is σ = 104232852. Its totient is φ = 10295424.

The previous prime is 38615113. The next prime is 38615131. The reversal of 38615130 is 3151683.

38615130 is a `hidden beast` number, since 38 + 615 + 13 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38229489 + 385641 = 6183^2 + 621^2 .

It is a super-2 number, since 2×386151302 = 2982256529833800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 38615094 and 38615103.

It is not an unprimeable number, because it can be changed into a prime (38615131) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4642 + ... + 9938.

Almost surely, 238615130 is an apocalyptic number.

38615130 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 38615130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52116426).

38615130 is an abundant number, since it is smaller than the sum of its proper divisors (65617722).

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

38615130 is an equidigital number, since it uses as much as digits as its factorization.

38615130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 38615130 is about 6214.1073373414. The cubic root of 38615130 is about 338.0019198565.

The spelling of 38615130 in words is "thirty-eight million, six hundred fifteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 5297 7290 10594 15891 26485 31782 47673 52970 79455 95346 143019 158910 238365 286038 429057 476730 715095 858114 1287171 1430190 2145285 2574342 3861513 4290570 6435855 7723026 12871710 19307565 38615130