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114543072 = 2534759107
BaseRepresentation
bin1101101001111…
…00100111100000
321222112101120000
412310330213200
5213310334242
615211020000
72560412550
oct664744740
9258471500
10114543072
11597249a6
123243a600
131a966187
14112d9160
15a0c8a4c
hex6d3c9e0

114543072 has 240 divisors, whose sum is σ = 395176320. Its totient is φ = 31871232.

The previous prime is 114543041. The next prime is 114543103. The reversal of 114543072 is 270345411.

114543072 is a `hidden beast` number, since 114 + 543 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (114543041) and next prime (114543103).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1070443 + ... + 1070549.

It is an arithmetic number, because the mean of its divisors is an integer number (1646568).

Almost surely, 2114543072 is an apocalyptic number.

114543072 is a gapful number since it is divisible by the number (12) 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 114543072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197588160).

114543072 is an abundant number, since it is smaller than the sum of its proper divisors (280633248).

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

114543072 is a wasteful number, since it uses less digits than its factorization.

114543072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 114543072 is about 10702.4797126647. The cubic root of 114543072 is about 485.6494957904.

Adding to 114543072 its reverse (270345411), we get a palindrome (384888483).

The spelling of 114543072 in words is "one hundred fourteen million, five hundred forty-three thousand, seventy-two".