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114110000 = 245411411
BaseRepresentation
bin1101100110100…
…10111000110000
321221201101111022
412303102320300
5213203010000
615153435012
72553630134
oct663227060
9257641438
10114110000
1159459594
123226ba68
131a844014
14112253c4
15a040585
hex6cd2e30

114110000 has 50 divisors (see below), whose sum is σ = 276295932. Its totient is φ = 45640000.

The previous prime is 114109997. The next prime is 114110021. The reversal of 114110000 is 11411.

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 114110000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4295 + ... + 15705.

Almost surely, 2114110000 is an apocalyptic number.

114110000 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 114110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138147966).

114110000 is an abundant number, since it is smaller than the sum of its proper divisors (162185932).

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

114110000 is an equidigital number, since it uses as much as digits as its factorization.

114110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11439 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 114110000 is about 10682.2282319748. The cubic root of 114110000 is about 485.0366642492.

Adding to 114110000 its reverse (11411), we get a palindrome (114121411).

Multiplying 114110000 by its reverse (11411), we get a square (1302109210000 = 11411002).

114110000 divided by its reverse (11411) gives a 4-th power (10000 = 104).

The spelling of 114110000 in words is "one hundred fourteen million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 11411 22822 45644 57055 91288 114110 182576 228220 285275 456440 570550 912880 1141100 1426375 2282200 2852750 4564400 5705500 7131875 11411000 14263750 22822000 28527500 57055000 114110000