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114413184 = 273299317
BaseRepresentation
bin1101101000111…
…00111010000000
321222021210101100
412310130322000
5213242210214
615204134400
72556332064
oct664347200
9258253340
10114413184
1159646356
1232397400
131a91c012
14112a3aa4
15a0a0309
hex6d1ce80

114413184 has 48 divisors (see below), whose sum is σ = 329239170. Its totient is φ = 38137344.

The previous prime is 114413183. The next prime is 114413191. The reversal of 114413184 is 481314411.

It can be written as a sum of positive squares in only one way, i.e., 108993600 + 5419584 = 10440^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (114413183) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48507 + ... + 50810.

Almost surely, 2114413184 is an apocalyptic number.

It is an amenable number.

114413184 is an abundant number, since it is smaller than the sum of its proper divisors (214825986).

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

114413184 is an equidigital number, since it uses as much as digits as its factorization.

114413184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99337 (or 99322 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 114413184 is about 10696.4098649968. The cubic root of 114413184 is about 485.4658562820.

Adding to 114413184 its reverse (481314411), we get a palindrome (595727595).

The spelling of 114413184 in words is "one hundred fourteen million, four hundred thirteen thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 99317 198634 297951 397268 595902 794536 893853 1191804 1589072 1787706 2383608 3178144 3575412 4767216 6356288 7150824 9534432 12712576 14301648 19068864 28603296 38137728 57206592 114413184