Base | Representation |
---|---|
bin | 1101100110000… |
… | …00110000000000 |
3 | 21221120121120220 |
4 | 12303000300000 |
5 | 213143120322 |
6 | 15152103040 |
7 | 2553200430 |
oct | 663006000 |
9 | 257517526 |
10 | 114035712 |
11 | 5940879a |
12 | 32234a80 |
13 | 1a81926b |
14 | 112062c0 |
15 | a02855c |
hex | 6cc0c00 |
114035712 has 88 divisors (see below), whose sum is σ = 347433216. Its totient is φ = 32575488.
The previous prime is 114035707. The next prime is 114035717. The reversal of 114035712 is 217530411.
It is an interprime number because it is at equal distance from previous prime (114035707) and next prime (114035717).
It is a super-2 number, since 2×1140357122 = 26008287222693888, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (114035717) 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, 18853 + ... + 24155.
Almost surely, 2114035712 is an apocalyptic number.
114035712 is a gapful number since it is divisible by the number (12) 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 114035712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173716608).
114035712 is an abundant number, since it is smaller than the sum of its proper divisors (233397504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114035712 is an equidigital number, since it uses as much as digits as its factorization.
114035712 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5333 (or 5315 counting only the distinct ones).
The product of its (nonzero) digits is 840, while the sum is 24.
The square root of 114035712 is about 10678.7504887042. The cubic root of 114035712 is about 484.9313850571.
The spelling of 114035712 in words is "one hundred fourteen million, thirty-five thousand, seven hundred twelve".
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