Search a number
-
+
114065352 = 23322954629
BaseRepresentation
bin1101100110001…
…11111111001000
321221122010020200
412303013333020
5213200042402
615152452200
72553353022
oct663077710
9257563220
10114065352
1159428a95
123224a060
131a8298bb
1411213012
15a03221c
hex6cc7fc8

114065352 has 48 divisors (see below), whose sum is σ = 319585500. Its totient is φ = 36710016.

The previous prime is 114065351. The next prime is 114065353. The reversal of 114065352 is 253560411.

114065352 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 653 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (114065351) and next prime (114065353).

It can be written as a sum of positive squares in 2 ways, for example, as 112911876 + 1153476 = 10626^2 + 1074^2 .

It is not an unprimeable number, because it can be changed into a prime (114065351) 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, 25227 + ... + 29402.

Almost surely, 2114065352 is an apocalyptic number.

114065352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114065352 is an abundant number, since it is smaller than the sum of its proper divisors (205520148).

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

114065352 is a wasteful number, since it uses less digits than its factorization.

114065352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54670 (or 54663 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 114065352 is about 10680.1382013530. The cubic root of 114065352 is about 484.9733956427.

The spelling of 114065352 in words is "one hundred fourteen million, sixty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 54629 109258 163887 218516 327774 437032 491661 655548 983322 1311096 1584241 1966644 3168482 3933288 4752723 6336964 9505446 12673928 14258169 19010892 28516338 38021784 57032676 114065352