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115304644 = 2272132592
BaseRepresentation
bin1101101111101…
…10100011000100
322000222002020101
412313312203010
5214004222034
615235213444
72600034100
oct667664304
9260862211
10115304644
115a0a50a4
1232747284
131ab71a00
1411456900
15a1c9514
hex6df68c4

115304644 has 81 divisors (see below), whose sum is σ = 258553197. Its totient is φ = 44841888.

The previous prime is 115304621. The next prime is 115304647. The reversal of 115304644 is 446403511.

The square root of 115304644 is 10738.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17056900 + 98247744 = 4130^2 + 9912^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (115304647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1954287 + ... + 1954345.

Almost surely, 2115304644 is an apocalyptic number.

115304644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

115304644 is the 10738-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115304644

115304644 is an abundant number, since it is smaller than the sum of its proper divisors (143248553).

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

115304644 is a wasteful number, since it uses less digits than its factorization.

115304644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The cubic root of 115304644 is about 486.7234451384.

The spelling of 115304644 in words is "one hundred fifteen million, three hundred four thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 59 91 98 118 169 182 196 236 338 364 413 637 676 767 826 1183 1274 1534 1652 2366 2548 2891 3068 3481 4732 5369 5782 6962 8281 9971 10738 11564 13924 16562 19942 21476 24367 33124 37583 39884 45253 48734 69797 75166 90506 97468 139594 150332 170569 181012 279188 316771 341138 488579 588289 633542 682276 977158 1176578 1267084 1954316 2217397 2353156 4118023 4434794 8236046 8869588 16472092 28826161 57652322 115304644