Search a number
-
+
114630417 = 33112913309
BaseRepresentation
bin1101101010100…
…01111100010001
321222200211101000
412311101330101
5213321133132
615212532213
72561225316
oct665217421
9258624330
10114630417
1159784590
1232481069
131a996b65
141131cd0d
15a0e487c
hex6d51f11

114630417 has 32 divisors (see below), whose sum is σ = 191664000. Its totient is φ = 67072320.

The previous prime is 114630379. The next prime is 114630421. The reversal of 114630417 is 714036411.

It is a happy number.

114630417 is a `hidden beast` number, since 1 + 14 + 630 + 4 + 17 = 666.

It is not a de Polignac number, because 114630417 - 27 = 114630289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114630427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959 + ... + 15267.

It is an arithmetic number, because the mean of its divisors is an integer number (5989500).

Almost surely, 2114630417 is an apocalyptic number.

It is an amenable number.

114630417 is a deficient number, since it is larger than the sum of its proper divisors (77033583).

114630417 is a wasteful number, since it uses less digits than its factorization.

114630417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13358 (or 13352 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 114630417 is about 10706.5595314275. The cubic root of 114630417 is about 485.7729086888.

Adding to 114630417 its reverse (714036411), we get a palindrome (828666828).

The spelling of 114630417 in words is "one hundred fourteen million, six hundred thirty thousand, four hundred seventeen".

Divisors: 1 3 9 11 27 29 33 87 99 261 297 319 783 957 2871 8613 13309 39927 119781 146399 359343 385961 439197 1157883 1317591 3473649 3952773 4245571 10420947 12736713 38210139 114630417