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114313320 = 233251128867
BaseRepresentation
bin1101101000001…
…00100001101000
321222002201101200
412310010201220
5213231011240
615202044200
72555434662
oct664044150
9258081350
10114313320
1159588320
1232349660
131a8b5724
1411279532
15a080930
hex6d04868

114313320 has 96 divisors (see below), whose sum is σ = 405306720. Its totient is φ = 27711360.

The previous prime is 114313319. The next prime is 114313333. The reversal of 114313320 is 23313411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114313293 and 114313302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10474 + ... + 18393.

It is an arithmetic number, because the mean of its divisors is an integer number (4221945).

Almost surely, 2114313320 is an apocalyptic number.

114313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114313320 is an abundant number, since it is smaller than the sum of its proper divisors (290993400).

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

114313320 is a wasteful number, since it uses less digits than its factorization.

114313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28895 (or 28888 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 114313320 is about 10691.7407375974. The cubic root of 114313320 is about 485.3245710658.

Adding to 114313320 its reverse (23313411), we get a palindrome (137626731).

Subtracting from 114313320 its reverse (23313411), we obtain a palindrome (90999909).

The spelling of 114313320 in words is "one hundred fourteen million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 28867 57734 86601 115468 144335 173202 230936 259803 288670 317537 346404 433005 519606 577340 635074 692808 866010 952611 1039212 1154680 1270148 1299015 1587685 1732020 1905222 2078424 2540296 2598030 2857833 3175370 3464040 3810444 4763055 5196060 5715666 6350740 7620888 9526110 10392120 11431332 12701480 14289165 19052220 22862664 28578330 38104440 57156660 114313320