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114542080 = 295101443
BaseRepresentation
bin1101101001111…
…00011000000000
321222112100012021
412310330120000
5213310321310
615211011224
72560406632
oct664743000
9258470167
10114542080
1159724184
1232439b14
131a9658a3
14112d8a52
15a0c85da
hex6d3c600

114542080 has 80 divisors (see below), whose sum is σ = 277977744. Its totient is φ = 45260800.

The previous prime is 114542059. The next prime is 114542081. The reversal of 114542080 is 80245411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114542081) 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 7 ways as a sum of consecutive naturals, for example, 258339 + ... + 258781.

Almost surely, 2114542080 is an apocalyptic number.

114542080 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 114542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138988872).

114542080 is an abundant number, since it is smaller than the sum of its proper divisors (163435664).

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

114542080 is an equidigital number, since it uses as much as digits as its factorization.

114542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 114542080 is about 10702.4333681645. The cubic root of 114542080 is about 485.6480937975.

Adding to 114542080 its reverse (80245411), we get a palindrome (194787491).

The spelling of 114542080 in words is "one hundred fourteen million, five hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 443 505 512 640 808 886 1010 1280 1616 1772 2020 2215 2560 3232 3544 4040 4430 6464 7088 8080 8860 12928 14176 16160 17720 25856 28352 32320 35440 44743 51712 56704 64640 70880 89486 113408 129280 141760 178972 223715 226816 258560 283520 357944 447430 567040 715888 894860 1134080 1431776 1789720 2863552 3579440 5727104 7158880 11454208 14317760 22908416 28635520 57271040 114542080