Search a number
-
+
115224000 = 263534801
BaseRepresentation
bin1101101111000…
…10110111000000
322000210222121120
412313202313000
5213444132000
615233352240
72566250013
oct667426700
9260728546
10115224000
115a04a551
1232708680
131ab440a8
141143537a
15a1b06a0
hex6de2dc0

115224000 has 112 divisors (see below), whose sum is σ = 380548896. Its totient is φ = 30720000.

The previous prime is 115223963. The next prime is 115224013. The reversal of 115224000 is 422511.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21600 + ... + 26400.

It is an arithmetic number, because the mean of its divisors is an integer number (3397758).

Almost surely, 2115224000 is an apocalyptic number.

115224000 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 115224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190274448).

115224000 is an abundant number, since it is smaller than the sum of its proper divisors (265324896).

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

115224000 is an equidigital number, since it uses as much as digits as its factorization.

115224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 115224000 is about 10734.2442677629. The cubic root of 115224000 is about 486.6099473107.

Adding to 115224000 its reverse (422511), we get a palindrome (115646511).

It can be divided in two parts, 1152 and 24000, that added together give a palindrome (25152).

The spelling of 115224000 in words is "one hundred fifteen million, two hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 4801 6000 8000 9602 12000 14403 19204 24000 24005 28806 38408 48010 57612 72015 76816 96020 115224 120025 144030 153632 192040 230448 240050 288060 307264 360075 384080 460896 480100 576120 600125 720150 768160 921792 960200 1152240 1200250 1440300 1536320 1800375 1920400 2304480 2400500 2880600 3600750 3840800 4608960 4801000 5761200 7201500 7681600 9602000 11522400 14403000 19204000 23044800 28806000 38408000 57612000 115224000