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114712320 = 283529873
BaseRepresentation
bin1101101011001…
…01111100000000
321222211222201110
412311211330000
5213331243240
615214403320
72562016152
oct665457400
9258758643
10114712320
1159830078
1232500540
131a9c5218
1411340ad2
15a10dc80
hex6d65f00

114712320 has 72 divisors (see below), whose sum is σ = 366374736. Its totient is φ = 30588928.

The previous prime is 114712319. The next prime is 114712327. The reversal of 114712320 is 23217411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114712327) 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 7 ways as a sum of consecutive naturals, for example, 11097 + ... + 18776.

It is an arithmetic number, because the mean of its divisors is an integer number (5088538).

Almost surely, 2114712320 is an apocalyptic number.

114712320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114712320 is an abundant number, since it is smaller than the sum of its proper divisors (251662416).

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

114712320 is an equidigital number, since it uses as much as digits as its factorization.

114712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29897 (or 29883 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 114712320 is about 10710.3837466264. The cubic root of 114712320 is about 485.8885754482. Note that the first 3 decimals are identical.

Adding to 114712320 its reverse (23217411), we get a palindrome (137929731).

The spelling of 114712320 in words is "one hundred fourteen million, seven hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 29873 59746 89619 119492 149365 179238 238984 298730 358476 448095 477968 597460 716952 896190 955936 1194920 1433904 1792380 1911872 2389840 2867808 3584760 3823744 4779680 5735616 7169520 7647488 9559360 11471232 14339040 19118720 22942464 28678080 38237440 57356160 114712320