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115004500 = 22531321361
BaseRepresentation
bin1101101101011…
…01010001010100
322000101211111221
412312231101110
5213420121000
615224540124
72564344042
oct666552124
9260354457
10115004500
1159a0a646
1232621644
131aa98200
14113b9392
15a16a61a
hex6dad454

115004500 has 72 divisors (see below), whose sum is σ = 272176632. Its totient is φ = 42432000.

The previous prime is 115004471. The next prime is 115004503. The reversal of 115004500 is 5400511.

It is a happy number.

115004500 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 12 ways, for example, as 115004176 + 324 = 10724^2 + 18^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115004503) 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, 83820 + ... + 85180.

It is an arithmetic number, because the mean of its divisors is an integer number (3780231).

Almost surely, 2115004500 is an apocalyptic number.

115004500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115004500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136088316).

115004500 is an abundant number, since it is smaller than the sum of its proper divisors (157172132).

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

115004500 is a wasteful number, since it uses less digits than its factorization.

115004500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 115004500 is about 10724.0151062930. The cubic root of 115004500 is about 486.3007559973.

The spelling of 115004500 in words is "one hundred fifteen million, four thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 500 650 676 845 1300 1361 1625 1690 2722 3250 3380 4225 5444 6500 6805 8450 13610 16900 17693 21125 27220 34025 35386 42250 68050 70772 84500 88465 136100 170125 176930 230009 340250 353860 442325 460018 680500 884650 920036 1150045 1769300 2211625 2300090 4423250 4600180 5750225 8846500 11500450 23000900 28751125 57502250 115004500