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114312480 = 2535238151
BaseRepresentation
bin1101101000001…
…00010100100000
321222002200020120
412310010110200
5213230444410
615202040240
72555432352
oct664042440
9258080216
10114312480
1159587727
1232349080
131a8b5229
14112790d2
15a080570
hex6d04520

114312480 has 48 divisors (see below), whose sum is σ = 360085824. Its totient is φ = 30483200.

The previous prime is 114312479. The next prime is 114312481. The reversal of 114312480 is 84213411.

It is an interprime number because it is at equal distance from previous prime (114312479) and next prime (114312481).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114312480.

It is not an unprimeable number, because it can be changed into a prime (114312481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118596 + ... + 119555.

It is an arithmetic number, because the mean of its divisors is an integer number (7501788).

Almost surely, 2114312480 is an apocalyptic number.

114312480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114312480 is an abundant number, since it is smaller than the sum of its proper divisors (245773344).

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

114312480 is a wasteful number, since it uses less digits than its factorization.

114312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238169 (or 238161 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 114312480 is about 10691.7014548668. The cubic root of 114312480 is about 485.3233823048.

Adding to 114312480 its reverse (84213411), we get a palindrome (198525891).

The spelling of 114312480 in words is "one hundred fourteen million, three hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 238151 476302 714453 952604 1190755 1428906 1905208 2381510 2857812 3572265 3810416 4763020 5715624 7144530 7620832 9526040 11431248 14289060 19052080 22862496 28578120 38104160 57156240 114312480