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115434540 = 223251349331
BaseRepresentation
bin1101110000101…
…10010000101100
322001012200102100
412320112100230
5214022401130
615242055100
72601114564
oct670262054
9261180370
10115434540
115a183751
12327aa490
131abb8b80
141148bda4
15a202c60
hex6e1642c

115434540 has 72 divisors (see below), whose sum is σ = 377093808. Its totient is φ = 28414080.

The previous prime is 115434533. The next prime is 115434541. The reversal of 115434540 is 45434511.

It is a happy number.

115434540 is a `hidden beast` number, since 115 + 4 + 3 + 4 + 540 = 666.

It is not an unprimeable number, because it can be changed into a prime (115434541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22326 + ... + 27005.

It is an arithmetic number, because the mean of its divisors is an integer number (5237414).

Almost surely, 2115434540 is an apocalyptic number.

115434540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115434540 is an abundant number, since it is smaller than the sum of its proper divisors (261659268).

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

115434540 is a wasteful number, since it uses less digits than its factorization.

115434540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49359 (or 49354 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 115434540 is about 10744.0467236512. The cubic root of 115434540 is about 486.9061486847.

The spelling of 115434540 in words is "one hundred fifteen million, four hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 49331 98662 147993 197324 246655 295986 443979 493310 591972 641303 739965 887958 986620 1282606 1479930 1775916 1923909 2219895 2565212 2959860 3206515 3847818 4439790 5771727 6413030 7695636 8879580 9619545 11543454 12826060 19239090 23086908 28858635 38478180 57717270 115434540