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114059808 = 2532396041
BaseRepresentation
bin1101100110001…
…10101000100000
321221121211122100
412303012220200
5213144403213
615152410400
72553330612
oct663065040
9257554570
10114059808
1159424905
1232246a00
131a827215
1411210db2
15a030773
hex6cc6a20

114059808 has 36 divisors (see below), whose sum is σ = 324358398. Its totient is φ = 38019840.

The previous prime is 114059807. The next prime is 114059809. The reversal of 114059808 is 808950411.

It is an interprime number because it is at equal distance from previous prime (114059807) and next prime (114059809).

It can be written as a sum of positive squares in only one way, i.e., 60652944 + 53406864 = 7788^2 + 7308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114059801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 197733 + ... + 198308.

Almost surely, 2114059808 is an apocalyptic number.

114059808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114059808 is an abundant number, since it is smaller than the sum of its proper divisors (210298590).

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

114059808 is a wasteful number, since it uses less digits than its factorization.

114059808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396057 (or 396046 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 114059808 is about 10679.8786509960. The cubic root of 114059808 is about 484.9655383457.

The spelling of 114059808 in words is "one hundred fourteen million, fifty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 396041 792082 1188123 1584164 2376246 3168328 3564369 4752492 6336656 7128738 9504984 12673312 14257476 19009968 28514952 38019936 57029904 114059808