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114483360 = 25351912553
BaseRepresentation
bin1101101001011…
…10000010100000
321222102100122110
412310232002200
5213301431420
615205435320
72560043505
oct664560240
9258370573
10114483360
1159694052
123240bb40
131a944c44
14112c14ac
15a0b5ee0
hex6d2e0a0

114483360 has 96 divisors (see below), whose sum is σ = 379632960. Its totient is φ = 28919808.

The previous prime is 114483349. The next prime is 114483361. The reversal of 114483360 is 63384411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (114483361) 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 15 ways as a sum of consecutive naturals, for example, 2844 + ... + 15396.

It is an arithmetic number, because the mean of its divisors is an integer number (3954510).

Almost surely, 2114483360 is an apocalyptic number.

114483360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114483360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189816480).

114483360 is an abundant number, since it is smaller than the sum of its proper divisors (265149600).

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

114483360 is a wasteful number, since it uses less digits than its factorization.

114483360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12590 (or 12582 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 114483360 is about 10699.6897151273. The cubic root of 114483360 is about 485.5650904431.

The spelling of 114483360 in words is "one hundred fourteen million, four hundred eighty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 12553 25106 37659 50212 62765 75318 100424 125530 150636 188295 200848 238507 251060 301272 376590 401696 477014 502120 602544 715521 753180 954028 1004240 1192535 1205088 1431042 1506360 1908056 2008480 2385070 2862084 3012720 3577605 3816112 4770140 5724168 6025440 7155210 7632224 9540280 11448336 14310420 19080560 22896672 28620840 38161120 57241680 114483360