Search a number
-
+
114061248 = 2632728289
BaseRepresentation
bin1101100110001…
…10111111000000
321221121220121200
412303012333000
5213144424443
615152421200
72553335040
oct663067700
9257556550
10114061248
11594259a4
1232247800
131a827a82
1411211720
15a030dd3
hex6cc6fc0

114061248 has 84 divisors (see below), whose sum is σ = 373654320. Its totient is φ = 32587776.

The previous prime is 114061229. The next prime is 114061253. The reversal of 114061248 is 842160411.

It is a happy number.

114061248 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 612 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10113 + ... + 18176.

Almost surely, 2114061248 is an apocalyptic number.

114061248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114061248 is an abundant number, since it is smaller than the sum of its proper divisors (259593072).

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

114061248 is a wasteful number, since it uses less digits than its factorization.

114061248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28314 (or 28301 counting only the distinct ones).

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

The square root of 114061248 is about 10679.9460672796. The cubic root of 114061248 is about 484.9675792265.

The spelling of 114061248 in words is "one hundred fourteen million, sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 28289 56578 84867 113156 169734 198023 226312 254601 339468 396046 452624 509202 594069 678936 792092 905248 1018404 1188138 1357872 1584184 1782207 1810496 2036808 2376276 2715744 3168368 3564414 4073616 4752552 5431488 6336736 7128828 8147232 9505104 12673472 14257656 16294464 19010208 28515312 38020416 57030624 114061248