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115164054 = 23219237479
BaseRepresentation
bin1101101110101…
…00001110010110
322000200221101100
412313110032112
5213440222204
615232210530
72565610155
oct667241626
9260627340
10115164054
115a009505
1232699a46
131ab22a15
141141b59c
15a19ca39
hex6dd4396

115164054 has 72 divisors (see below), whose sum is σ = 271028160. Its totient is φ = 35310816.

The previous prime is 115164043. The next prime is 115164079. The reversal of 115164054 is 450461511.

115164054 is a `hidden beast` number, since 1 + 15 + 1 + 640 + 5 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 240187 + ... + 240665.

It is an arithmetic number, because the mean of its divisors is an integer number (3764280).

Almost surely, 2115164054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115164054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135514080).

115164054 is an abundant number, since it is smaller than the sum of its proper divisors (155864106).

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

115164054 is a wasteful number, since it uses less digits than its factorization.

115164054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 115164054 is about 10731.4516259451. The cubic root of 115164054 is about 486.5255453920.

The spelling of 115164054 in words is "one hundred fifteen million, one hundred sixty-four thousand, fifty-four".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 361 479 666 703 722 958 1083 1406 1437 2109 2166 2874 3249 4218 4311 6327 6498 8622 9101 12654 13357 17723 18202 26714 27303 35446 40071 53169 54606 80142 81909 106338 120213 159507 163818 172919 240426 319014 336737 345838 518757 673474 1010211 1037514 1556271 2020422 3030633 3112542 6061266 6398003 12796006 19194009 38388018 57582027 115164054