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114840180 = 223457131941
BaseRepresentation
bin1101101100001…
…01001001110100
322000002111010000
412312011021310
5213344341210
615221231300
72563061010
oct666051164
9260074100
10114840180
1159908144
1232562530
131aa3b490
1411375540
15a136ac0
hex6d85274

114840180 has 480 divisors, whose sum is σ = 478114560. Its totient is φ = 22394880.

The previous prime is 114840179. The next prime is 114840197. The reversal of 114840180 is 81048411.

114840180 is a `hidden beast` number, since 1 + 1 + 484 + 0 + 180 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 615 × 399 × 468.

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 159 ways as a sum of consecutive naturals, for example, 2800960 + ... + 2801000.

It is an arithmetic number, because the mean of its divisors is an integer number (996072).

Almost surely, 2114840180 is an apocalyptic number.

114840180 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 114840180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239057280).

114840180 is an abundant number, since it is smaller than the sum of its proper divisors (363274380).

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

114840180 is a wasteful number, since it uses less digits than its factorization.

114840180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 114840180 is about 10716.3510580794. The cubic root of 114840180 is about 486.0690345464.

Adding to 114840180 its reverse (81048411), we get a palindrome (195888591).

It can be divided in two parts, 1148 and 40180, that added together give a triangular number (41328 = T287).

The spelling of 114840180 in words is "one hundred fourteen million, eight hundred forty thousand, one hundred eighty".