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114327360 = 26325753107
BaseRepresentation
bin1101101000001…
…11111101000000
321222010102122200
412310013331000
5213231433420
615202233200
72555523630
oct664077500
9258112580
10114327360
1159597924
1232355800
131a8bbc34
14112806c0
15a084b90
hex6d07f40

114327360 has 336 divisors, whose sum is σ = 462174336. Its totient is φ = 25399296.

The previous prime is 114327347. The next prime is 114327371. The reversal of 114327360 is 63723411.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1068427 + ... + 1068533.

Almost surely, 2114327360 is an apocalyptic number.

114327360 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 114327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231087168).

114327360 is an abundant number, since it is smaller than the sum of its proper divisors (347846976).

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

114327360 is a wasteful number, since it uses less digits than its factorization.

114327360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

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

The square root of 114327360 is about 10692.3972990158. The cubic root of 114327360 is about 485.3444394941.

The spelling of 114327360 in words is "one hundred fourteen million, three hundred twenty-seven thousand, three hundred sixty".