Base | Representation |
---|---|
bin | 10110101010000… |
… | …101101100000100 |
3 | 222111021201012200 |
4 | 112222011230010 |
5 | 1234303211400 |
6 | 101415314500 |
7 | 12264032565 |
oct | 2652055404 |
9 | 874251180 |
10 | 380132100 |
11 | 185635967 |
12 | a737ba30 |
13 | 609a634a |
14 | 386b216c |
15 | 2358bb00 |
hex | 16a85b04 |
380132100 has 54 divisors (see below), whose sum is σ = 1191505770. Its totient is φ = 101368320.
The previous prime is 380132089. The next prime is 380132101. The reversal of 380132100 is 1231083.
It can be written as a sum of positive squares in 3 ways, for example, as 77580864 + 302551236 = 8808^2 + 17394^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (380132101) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 210285 + ... + 212084.
Almost surely, 2380132100 is an apocalyptic number.
380132100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
380132100 is an abundant number, since it is smaller than the sum of its proper divisors (811373670).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
380132100 is a wasteful number, since it uses less digits than its factorization.
380132100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 422389 (or 422379 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 380132100 is about 19496.9766887074. The cubic root of 380132100 is about 724.3995662840.
Adding to 380132100 its reverse (1231083), we get a palindrome (381363183).
The spelling of 380132100 in words is "three hundred eighty million, one hundred thirty-two thousand, one hundred".
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