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115463400 = 2335213113131
BaseRepresentation
bin1101110000111…
…01010011101000
322001021011000020
412320131103220
5214024312100
615242440440
72601264663
oct670352350
9261234006
10115463400
115a1a33a8
1232803120
131abc9050
14114986da
15a20b5a0
hex6e1d4e8

115463400 has 192 divisors, whose sum is σ = 391849920. Its totient is φ = 27955200.

The previous prime is 115463377. The next prime is 115463407. The reversal of 115463400 is 4364511.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (115463407) 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, 881335 + ... + 881465.

It is an arithmetic number, because the mean of its divisors is an integer number (2040885).

Almost surely, 2115463400 is an apocalyptic number.

115463400 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 115463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

115463400 is an abundant number, since it is smaller than the sum of its proper divisors (276386520).

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

115463400 is a wasteful number, since it uses less digits than its factorization.

115463400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 115463400 is about 10745.3897090799. The cubic root of 115463400 is about 486.9467227352.

The spelling of 115463400 in words is "one hundred fifteen million, four hundred sixty-three thousand, four hundred".