Search a number
-
+
115288000 = 265314411
BaseRepresentation
bin1101101111100…
…10011111000000
322000221020101221
412313302133000
5214003204000
615235004424
72566634422
oct667623700
9260836357
10115288000
115a093643
1232739714
131ab67269
1411450812
15a1c461a
hex6df27c0

115288000 has 56 divisors (see below), whose sum is σ = 285530544. Its totient is φ = 46112000.

The previous prime is 115287973. The next prime is 115288001. The reversal of 115288000 is 882511.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115288001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 795 + ... + 15205.

Almost surely, 2115288000 is an apocalyptic number.

115288000 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 115288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142765272).

115288000 is an abundant number, since it is smaller than the sum of its proper divisors (170242544).

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

115288000 is an equidigital number, since it uses as much as digits as its factorization.

115288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14438 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 115288000 is about 10737.2249673740. The cubic root of 115288000 is about 486.7000248188.

The spelling of 115288000 in words is "one hundred fifteen million, two hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 14411 28822 57644 72055 115288 144110 230576 288220 360275 461152 576440 720550 922304 1152880 1441100 1801375 2305760 2882200 3602750 4611520 5764400 7205500 11528800 14411000 23057600 28822000 57644000 115288000