Search a number
-
+
114988968 = 23321597069
BaseRepresentation
bin1101101101010…
…01011110101000
322000101001012200
412312221132220
5213414121333
615224340200
72564250543
oct666513650
9260331180
10114988968
11599a9a06
1232614660
131aa91113
14113b385a
15a165c13
hex6da97a8

114988968 has 24 divisors (see below), whose sum is σ = 311428650. Its totient is φ = 38329632.

The previous prime is 114988963. The next prime is 114988981. The reversal of 114988968 is 869889411.

114988968 is a `hidden beast` number, since 11 + 498 + 89 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109872324 + 5116644 = 10482^2 + 2262^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (114988961) 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, 798463 + ... + 798606.

Almost surely, 2114988968 is an apocalyptic number.

114988968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114988968 is an abundant number, since it is smaller than the sum of its proper divisors (196439682).

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

114988968 is a wasteful number, since it uses less digits than its factorization.

114988968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597081 (or 1597074 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 114988968 is about 10723.2909127749. The cubic root of 114988968 is about 486.2788624673.

The spelling of 114988968 in words is "one hundred fourteen million, nine hundred eighty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1597069 3194138 4791207 6388276 9582414 12776552 14373621 19164828 28747242 38329656 57494484 114988968