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115465040 = 2458916217
BaseRepresentation
bin1101110000111…
…01101101010000
322001021020020222
412320131231100
5214024340130
615242452212
72601302525
oct670355520
9261236228
10115465040
115a1a4659
1232804068
131abc9a12
141149914c
15a20bce5
hex6e1db50

115465040 has 40 divisors (see below), whose sum is σ = 271489320. Its totient is φ = 45664256.

The previous prime is 115465013. The next prime is 115465043. The reversal of 115465040 is 40564511.

It can be written as a sum of positive squares in 4 ways, for example, as 11343424 + 104121616 = 3368^2 + 10204^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115465043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 989 + ... + 15228.

It is an arithmetic number, because the mean of its divisors is an integer number (6787233).

Almost surely, 2115465040 is an apocalyptic number.

115465040 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 115465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135744660).

115465040 is an abundant number, since it is smaller than the sum of its proper divisors (156024280).

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

115465040 is a wasteful number, since it uses less digits than its factorization.

115465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16319 (or 16313 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 115465040 is about 10745.4660206061. The cubic root of 115465040 is about 486.9490281955.

The spelling of 115465040 in words is "one hundred fifteen million, four hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 16217 32434 64868 81085 129736 162170 259472 324340 648680 1297360 1443313 2886626 5773252 7216565 11546504 14433130 23093008 28866260 57732520 115465040