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115050144 = 25311108949
BaseRepresentation
bin1101101101110…
…00011010100000
322000111011010110
412312320122200
5213423101034
615225531320
72564624106
oct666703240
9260434113
10115050144
1159a40970
1232643b40
131aab2c11
14113cbc76
15a178de9
hex6db86a0

115050144 has 48 divisors (see below), whose sum is σ = 329464800. Its totient is φ = 34863360.

The previous prime is 115050119. The next prime is 115050151. The reversal of 115050144 is 441050511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 115050144.

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 7 ways as a sum of consecutive naturals, for example, 53419 + ... + 55530.

It is an arithmetic number, because the mean of its divisors is an integer number (6863850).

Almost surely, 2115050144 is an apocalyptic number.

It is an amenable number.

115050144 is an abundant number, since it is smaller than the sum of its proper divisors (214414656).

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

115050144 is a wasteful number, since it uses less digits than its factorization.

115050144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108973 (or 108965 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 115050144 is about 10726.1430160147. The cubic root of 115050144 is about 486.3650832651.

The spelling of 115050144 in words is "one hundred fifteen million, fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 108949 217898 326847 435796 653694 871592 1198439 1307388 1743184 2396878 2614776 3486368 3595317 4793756 5229552 7190634 9587512 10459104 14381268 19175024 28762536 38350048 57525072 115050144