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114424400 = 2452286061
BaseRepresentation
bin1101101000111…
…11101001010000
321222022100202202
412310133221100
5213243040100
615204302332
72556406556
oct664375120
9258270682
10114424400
1159653822
12323a19a8
131a92415c
14112a7bd6
15a0a37d5
hex6d1fa50

114424400 has 30 divisors (see below), whose sum is σ = 274905582. Its totient is φ = 45769600.

The previous prime is 114424397. The next prime is 114424417. The reversal of 114424400 is 4424411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7011904 + 107412496 = 2648^2 + 10364^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142631 + ... + 143430.

Almost surely, 2114424400 is an apocalyptic number.

114424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114424400 is an abundant number, since it is smaller than the sum of its proper divisors (160481182).

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

114424400 is a wasteful number, since it uses less digits than its factorization.

114424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286079 (or 286068 counting only the distinct ones).

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

The square root of 114424400 is about 10696.9341402105. The cubic root of 114424400 is about 485.4817192765.

Adding to 114424400 its reverse (4424411), we get a palindrome (118848811).

The spelling of 114424400 in words is "one hundred fourteen million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 286061 572122 1144244 1430305 2288488 2860610 4576976 5721220 7151525 11442440 14303050 22884880 28606100 57212200 114424400