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115413480 = 233257132271
BaseRepresentation
bin1101110000100…
…01000111101000
322001011121112100
412320101013220
5214021212410
615241413400
72600666310
oct670210750
9261147470
10115413480
115a169946
123279a260
131abac400
1411484440
15a1eb8c0
hex6e111e8

115413480 has 288 divisors, whose sum is σ = 465903360. Its totient is φ = 24261120.

The previous prime is 115413479. The next prime is 115413497. The reversal of 115413480 is 84314511.

It is a happy number.

115413480 is a `hidden beast` number, since 11 + 541 + 34 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425745 + ... + 426015.

It is an arithmetic number, because the mean of its divisors is an integer number (1617720).

Almost surely, 2115413480 is an apocalyptic number.

115413480 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 115413480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232951680).

115413480 is an abundant number, since it is smaller than the sum of its proper divisors (350489880).

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

115413480 is a wasteful number, since it uses less digits than its factorization.

115413480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 115413480 is about 10743.0666013015. The cubic root of 115413480 is about 486.8765363256.

Adding to 115413480 its reverse (84314511), we get a palindrome (199727991).

It can be divided in two parts, 115 and 413480, that added together give a triangular number (413595 = T909).

The spelling of 115413480 in words is "one hundred fifteen million, four hundred thirteen thousand, four hundred eighty".