Search a number
-
+
115361000 = 2353115361
BaseRepresentation
bin1101110000001…
…00010011101000
322001001221112122
412320010103220
5214013023000
615240330412
72600360306
oct670042350
9261057478
10115361000
115a133477
1232773a08
131ab91561
141146d276
15a1db085
hex6e044e8

115361000 has 32 divisors (see below), whose sum is σ = 269947080. Its totient is φ = 46144000.

The previous prime is 115360991. The next prime is 115361009. The reversal of 115361000 is 163511.

It is an interprime number because it is at equal distance from previous prime (115360991) and next prime (115361009).

It can be written as a sum of positive squares in 4 ways, for example, as 59320804 + 56040196 = 7702^2 + 7486^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 115361000.

It is not an unprimeable number, because it can be changed into a prime (115361009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56681 + ... + 58680.

Almost surely, 2115361000 is an apocalyptic number.

115361000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115361000 is an abundant number, since it is smaller than the sum of its proper divisors (154586080).

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

115361000 is a wasteful number, since it uses less digits than its factorization.

115361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115382 (or 115368 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 115361000 is about 10740.6238180098. The cubic root of 115361000 is about 486.8027287876.

The spelling of 115361000 in words is "one hundred fifteen million, three hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 115361 230722 461444 576805 922888 1153610 2307220 2884025 4614440 5768050 11536100 14420125 23072200 28840250 57680500 115361000