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115850240 = 210511317
BaseRepresentation
bin1101110011110…
…11110000000000
322001222210122122
412321323300000
5214124201430
615255023412
72604465542
oct671736000
9261883578
10115850240
115a438000
123296ab68
131b00314c
1411559692
15a285ee5
hex6e7bc00

115850240 has 176 divisors, whose sum is σ = 323655264. Its totient is φ = 39649280.

The previous prime is 115850233. The next prime is 115850249. The reversal of 115850240 is 42058511.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115850249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6814712 + ... + 6814728.

Almost surely, 2115850240 is an apocalyptic number.

115850240 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 115850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161827632).

115850240 is an abundant number, since it is smaller than the sum of its proper divisors (207805024).

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

115850240 is an equidigital number, since it uses as much as digits as its factorization.

115850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 115850240 is about 10763.3749354001. The cubic root of 115850240 is about 487.4899265944.

The spelling of 115850240 in words is "one hundred fifteen million, eight hundred fifty thousand, two hundred forty".