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115055640 = 2335571989
BaseRepresentation
bin1101101101110…
…01110000011000
322000111102200000
412312321300120
5213423240030
615230013000
72564646120
oct666716030
9260442600
10115055640
1159a45007
1232647160
131aab557b
14113cdc80
15a17a860
hex6db9c18

115055640 has 384 divisors, whose sum is σ = 471744000. Its totient is φ = 24634368.

The previous prime is 115055627. The next prime is 115055641. The reversal of 115055640 is 46550511.

It is a happy number.

115055640 is a `hidden beast` number, since 1 + 15 + 0 + 5 + 5 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115055641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1292716 + ... + 1292804.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2115055640 is an apocalyptic number.

115055640 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 115055640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

115055640 is an abundant number, since it is smaller than the sum of its proper divisors (356688360).

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

115055640 is a wasteful number, since it uses less digits than its factorization.

115055640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 115055640 is about 10726.3992094272. The cubic root of 115055640 is about 486.3728277721.

The spelling of 115055640 in words is "one hundred fifteen million, fifty-five thousand, six hundred forty".