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114521040 = 2435543137
BaseRepresentation
bin1101101001101…
…11001111010000
321222111021100000
412310313033100
5213304133130
615210330000
72560261404
oct664671720
9258437300
10114521040
115970a397
1232429900
131a95913a
14112d1104
15a0c2260
hex6d373d0

114521040 has 240 divisors, whose sum is σ = 411098688. Its totient is φ = 29611008.

The previous prime is 114521003. The next prime is 114521041. The reversal of 114521040 is 40125411.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114521041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835852 + ... + 835988.

Almost surely, 2114521040 is an apocalyptic number.

114521040 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 114521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205549344).

114521040 is an abundant number, since it is smaller than the sum of its proper divisors (296577648).

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

114521040 is a wasteful number, since it uses less digits than its factorization.

114521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 114521040 is about 10701.4503689920. The cubic root of 114521040 is about 485.6183560755.

Adding to 114521040 its reverse (40125411), we get a palindrome (154646451).

The spelling of 114521040 in words is "one hundred fourteen million, five hundred twenty-one thousand, forty".