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115312320 = 2632540039
BaseRepresentation
bin1101101111110…
…00011011000000
322000222110202200
412313320123000
5214004443240
615235313200
72600065344
oct667703300
9260873680
10115312320
115a0aa942
123274b800
131ab75356
1411459624
15a1cb930
hex6df86c0

115312320 has 84 divisors (see below), whose sum is σ = 396636240. Its totient is φ = 30749184.

The previous prime is 115312297. The next prime is 115312361. The reversal of 115312320 is 23213511.

It is a super-2 number, since 2×1153123202 = 26593862287564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 115312293 and 115312302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17140 + ... + 22899.

It is an arithmetic number, because the mean of its divisors is an integer number (4721860).

Almost surely, 2115312320 is an apocalyptic number.

115312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115312320 is an abundant number, since it is smaller than the sum of its proper divisors (281323920).

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

115312320 is a wasteful number, since it uses less digits than its factorization.

115312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40062 (or 40049 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 115312320 is about 10738.3574162904. The cubic root of 115312320 is about 486.7342455310.

Adding to 115312320 its reverse (23213511), we get a palindrome (138525831).

The spelling of 115312320 in words is "one hundred fifteen million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 40039 80078 120117 160156 200195 240234 320312 360351 400390 480468 600585 640624 720702 800780 960936 1201170 1281248 1441404 1601560 1801755 1921872 2402340 2562496 2882808 3203120 3603510 3843744 4804680 5765616 6406240 7207020 7687488 9609360 11531232 12812480 14414040 19218720 23062464 28828080 38437440 57656160 115312320