Search a number
-
+
114779216 = 2429247369
BaseRepresentation
bin1101101011101…
…10010001010000
321222222101111002
412311312101100
5213340413331
615220041132
72562415166
oct665662120
9258871432
10114779216
1159876362
12325331a8
131aa197c6
141135b236
15a1239cb
hex6d76450

114779216 has 20 divisors (see below), whose sum is σ = 230054100. Its totient is φ = 55410432.

The previous prime is 114779201. The next prime is 114779233. The reversal of 114779216 is 612977411.

It can be written as a sum of positive squares in 2 ways, for example, as 20611600 + 94167616 = 4540^2 + 9704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114779216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123221 + ... + 124148.

It is an arithmetic number, because the mean of its divisors is an integer number (11502705).

Almost surely, 2114779216 is an apocalyptic number.

114779216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114779216 is an abundant number, since it is smaller than the sum of its proper divisors (115274884).

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

114779216 is a wasteful number, since it uses less digits than its factorization.

114779216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247406 (or 247400 counting only the distinct ones).

The product of its digits is 21168, while the sum is 38.

The square root of 114779216 is about 10713.5062421226. The cubic root of 114779216 is about 485.9830078678.

The spelling of 114779216 in words is "one hundred fourteen million, seven hundred seventy-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 464 247369 494738 989476 1978952 3957904 7173701 14347402 28694804 57389608 114779216