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115625000 = 235837
BaseRepresentation
bin1101110010001…
…00110000101000
322001120100200102
412321010300220
5214100000000
615250124532
72602540061
oct671046050
9261510612
10115625000
115a2a3857
1232880748
131ac5477a
14114db568
15a23e3d5
hex6e44c28

115625000 has 72 divisors (see below), whose sum is σ = 278320170. Its totient is φ = 45000000.

The previous prime is 115624987. The next prime is 115625011. The reversal of 115625000 is 526511.

It can be written as a sum of positive squares in 9 ways, for example, as 115304644 + 320356 = 10738^2 + 566^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3124982 + ... + 3125018.

Almost surely, 2115625000 is an apocalyptic number.

115625000 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 115625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139160085).

115625000 is an abundant number, since it is smaller than the sum of its proper divisors (162695170).

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

115625000 is an frugal number, since it uses more digits than its factorization.

115625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 115625000 is about 10752.9065838033. The cubic root of 115625000 is about 487.1737900937.

The spelling of 115625000 in words is "one hundred fifteen million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 625 740 925 1000 1250 1480 1850 2500 3125 3700 4625 5000 6250 7400 9250 12500 15625 18500 23125 25000 31250 37000 46250 62500 78125 92500 115625 125000 156250 185000 231250 312500 390625 462500 578125 625000 781250 925000 1156250 1562500 2312500 2890625 3125000 4625000 5781250 11562500 14453125 23125000 28906250 57812500 115625000