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114320736 = 2532396947
BaseRepresentation
bin1101101000001…
…10010101100000
321222010002120100
412310012111200
5213231230421
615202142400
72555465415
oct664062540
9258102510
10114320736
1159592952
1232351a00
131a8b8c0a
141127c10c
15a082c26
hex6d06560

114320736 has 36 divisors (see below), whose sum is σ = 325100412. Its totient is φ = 38106816.

The previous prime is 114320729. The next prime is 114320737. The reversal of 114320736 is 637023411.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114320737) 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 5 ways as a sum of consecutive naturals, for example, 198186 + ... + 198761.

It is an arithmetic number, because the mean of its divisors is an integer number (9030567).

Almost surely, 2114320736 is an apocalyptic number.

114320736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114320736 is an abundant number, since it is smaller than the sum of its proper divisors (210779676).

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

114320736 is a wasteful number, since it uses less digits than its factorization.

114320736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396963 (or 396952 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 114320736 is about 10692.0875417292. The cubic root of 114320736 is about 485.3350658742.

The spelling of 114320736 in words is "one hundred fourteen million, three hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 396947 793894 1190841 1587788 2381682 3175576 3572523 4763364 6351152 7145046 9526728 12702304 14290092 19053456 28580184 38106912 57160368 114320736