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115470432 = 253271141127
BaseRepresentation
bin1101110000111…
…11000001100000
322001021111122200
412320133001200
5214030023212
615242533200
72601324330
oct670370140
9261244580
10115470432
115a1a8710
1232807200
131abcc2cc
141149b0c0
15a20d6dc
hex6e1f060

115470432 has 288 divisors, whose sum is σ = 422682624. Its totient is φ = 29030400.

The previous prime is 115470427. The next prime is 115470457. The reversal of 115470432 is 234074511.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 115470396 and 115470405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909153 + ... + 909279.

It is an arithmetic number, because the mean of its divisors is an integer number (1467648).

Almost surely, 2115470432 is an apocalyptic number.

115470432 is a gapful number since it is divisible by the number (12) 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 115470432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211341312).

115470432 is an abundant number, since it is smaller than the sum of its proper divisors (307212192).

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

115470432 is a wasteful number, since it uses less digits than its factorization.

115470432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 115470432 is about 10745.7169141942. The cubic root of 115470432 is about 486.9566079451.

The spelling of 115470432 in words is "one hundred fifteen million, four hundred seventy thousand, four hundred thirty-two".