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114968718 = 23210759693
BaseRepresentation
bin1101101101001…
…00100010001110
322000100000102200
412312210202032
5213412444333
615224102330
72564134524
oct666444216
9260300380
10114968718
1159995777
12326049a6
131aa84b37
14113aa314
15a15ec13
hex6da488e

114968718 has 24 divisors (see below), whose sum is σ = 251431128. Its totient is φ = 37964112.

The previous prime is 114968681. The next prime is 114968719. The reversal of 114968718 is 817869411.

It is a happy number.

It is a super-2 number, since 2×1149687182 = 26435612237127048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114968719) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27921 + ... + 31772.

It is an arithmetic number, because the mean of its divisors is an integer number (10476297).

Almost surely, 2114968718 is an apocalyptic number.

114968718 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

114968718 is an abundant number, since it is smaller than the sum of its proper divisors (136462410).

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

114968718 is a wasteful number, since it uses less digits than its factorization.

114968718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59808 (or 59805 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 114968718 is about 10722.3466647931. The cubic root of 114968718 is about 486.2503155982.

The spelling of 114968718 in words is "one hundred fourteen million, nine hundred sixty-eight thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 1926 59693 119386 179079 358158 537237 1074474 6387151 12774302 19161453 38322906 57484359 114968718