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114404024 = 23722312689
BaseRepresentation
bin1101101000110…
…10101010111000
321222021022211002
412310122222320
5213241412044
615204024132
72556263300
oct664325270
9258238732
10114404024
115963a489
1232392048
131a917ab7
14112a0600
15a09c74e
hex6d1aab8

114404024 has 48 divisors (see below), whose sum is σ = 260398800. Its totient is φ = 46894848.

The previous prime is 114404021. The next prime is 114404027. The reversal of 114404024 is 420404411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114404021) and next prime (114404027).

It is a junction number, because it is equal to n+sod(n) for n = 114403987 and 114404005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114404021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2672 + ... + 15360.

It is an arithmetic number, because the mean of its divisors is an integer number (5424975).

Almost surely, 2114404024 is an apocalyptic number.

114404024 is a gapful number since it is divisible by the number (14) 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 114404024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130199400).

114404024 is an abundant number, since it is smaller than the sum of its proper divisors (145994776).

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

114404024 is a wasteful number, since it uses less digits than its factorization.

114404024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12732 (or 12721 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 114404024 is about 10695.9816753770. The cubic root of 114404024 is about 485.4529003569.

Adding to 114404024 its reverse (420404411), we get a palindrome (534808435).

The spelling of 114404024 in words is "one hundred fourteen million, four hundred four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 644 1127 1288 2254 4508 9016 12689 25378 50756 88823 101512 177646 291847 355292 583694 621761 710584 1167388 1243522 2042929 2334776 2487044 4085858 4974088 8171716 14300503 16343432 28601006 57202012 114404024