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115906384 = 241121923137
BaseRepresentation
bin1101110100010…
…01011101010000
322002002122200001
412322021131100
5214133001014
615300135344
72605121326
oct672113520
9262078601
10115906384
115a476200
1232997554
131b022879
1411571d16
15a297974
hex6e89750

115906384 has 120 divisors (see below), whose sum is σ = 273107520. Its totient is φ = 47393280.

The previous prime is 115906379. The next prime is 115906409. The reversal of 115906384 is 483609511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845964 + ... + 846100.

It is an arithmetic number, because the mean of its divisors is an integer number (2275896).

Almost surely, 2115906384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115906384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136553760).

115906384 is an abundant number, since it is smaller than the sum of its proper divisors (157201136).

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

115906384 is a wasteful number, since it uses less digits than its factorization.

115906384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 115906384 is about 10765.9827233746. The cubic root of 115906384 is about 487.5686639202.

The spelling of 115906384 in words is "one hundred fifteen million, nine hundred six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 19 22 23 38 44 46 76 88 92 121 137 152 176 184 209 242 253 274 304 368 418 437 484 506 548 836 874 968 1012 1096 1507 1672 1748 1936 2024 2192 2299 2603 2783 3014 3151 3344 3496 4048 4598 4807 5206 5566 6028 6302 6992 9196 9614 10412 11132 12056 12604 16577 18392 19228 20824 22264 24112 25208 28633 33154 34661 36784 38456 41648 44528 50416 52877 57266 59869 66308 69322 76912 105754 114532 119738 132616 138644 211508 229064 239476 265232 277288 314963 381271 423016 458128 478952 554576 629926 658559 762542 846032 957904 1259852 1317118 1525084 2519704 2634236 3050168 5039408 5268472 6100336 7244149 10536944 14488298 28976596 57953192 115906384