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115434816 = 263785889
BaseRepresentation
bin1101110000101…
…10010101000000
322001012200210120
412320112111000
5214022403231
615242100240
72601115440
oct670262500
9261180716
10115434816
115a183982
12327aa680
131abb9033
141148c120
15a202d96
hex6e16540

115434816 has 56 divisors (see below), whose sum is σ = 349056960. Its totient is φ = 32980992.

The previous prime is 115434791. The next prime is 115434829. The reversal of 115434816 is 618434511.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41601 + ... + 44288.

It is an arithmetic number, because the mean of its divisors is an integer number (6233160).

Almost surely, 2115434816 is an apocalyptic number.

115434816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

115434816 is an abundant number, since it is smaller than the sum of its proper divisors (233622144).

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

115434816 is an equidigital number, since it uses as much as digits as its factorization.

115434816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85911 (or 85901 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 115434816 is about 10744.0595679659. The cubic root of 115434816 is about 486.9065367430.

The spelling of 115434816 in words is "one hundred fifteen million, four hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 85889 171778 257667 343556 515334 601223 687112 1030668 1202446 1374224 1803669 2061336 2404892 2748448 3607338 4122672 4809784 5496896 7214676 8245344 9619568 14429352 16490688 19239136 28858704 38478272 57717408 115434816