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114540000 = 253542383
BaseRepresentation
bin1101101001110…
…11110111100000
321222112020100020
412310323313200
5213310240000
615210553440
72560400601
oct664736740
9258466306
10114540000
1159722663
1232438880
131a964963
14112d7da8
15a0c7ba0
hex6d3bde0

114540000 has 240 divisors, whose sum is σ = 396772992. Its totient is φ = 28864000.

The previous prime is 114539939. The next prime is 114540007. The reversal of 114540000 is 45411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114540007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1379959 + ... + 1380041.

Almost surely, 2114540000 is an apocalyptic number.

114540000 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 114540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198386496).

114540000 is an abundant number, since it is smaller than the sum of its proper divisors (282232992).

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

114540000 is an equidigital number, since it uses as much as digits as its factorization.

114540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 114540000 is about 10702.3361935607. The cubic root of 114540000 is about 485.6451541089.

Adding to 114540000 its reverse (45411), we get a palindrome (114585411).

The spelling of 114540000 in words is "one hundred fourteen million, five hundred forty thousand".