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114632280 = 23335759257
BaseRepresentation
bin1101101010100…
…10011001011000
321222200220221000
412311102121120
5213321213110
615212545000
72561233620
oct665223130
9258626830
10114632280
1159785a24
1232482160
131a997969
141131d880
15a0e51c0
hex6d52658

114632280 has 256 divisors, whose sum is σ = 445824000. Its totient is φ = 25657344.

The previous prime is 114632261. The next prime is 114632293. The reversal of 114632280 is 82236411.

114632280 is a `hidden beast` number, since 1 + 1 + 4 + 632 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 445912 + ... + 446168.

It is an arithmetic number, because the mean of its divisors is an integer number (1741500).

Almost surely, 2114632280 is an apocalyptic number.

114632280 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 114632280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222912000).

114632280 is an abundant number, since it is smaller than the sum of its proper divisors (331191720).

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

114632280 is a wasteful number, since it uses less digits than its factorization.

114632280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114632280 is about 10706.6465338125. The cubic root of 114632280 is about 485.7755403057.

Adding to 114632280 its reverse (82236411), we get a palindrome (196868691).

The spelling of 114632280 in words is "one hundred fourteen million, six hundred thirty-two thousand, two hundred eighty".