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115013925 = 34521317257
BaseRepresentation
bin1101101101011…
…11100100100101
322000102022110000
412312233210211
5213420421200
615225051513
72564413365
oct666574445
9260368400
10115013925
1159a16734
1232626b99
131aa9c5a0
14113bc9a5
15a16d300
hex6daf925

115013925 has 120 divisors (see below), whose sum is σ = 243875016. Its totient is φ = 53084160.

The previous prime is 115013923. The next prime is 115013933. The reversal of 115013925 is 529310511.

It can be written as a sum of positive squares in 12 ways, for example, as 7144929 + 107868996 = 2673^2 + 10386^2 .

It is not a de Polignac number, because 115013925 - 21 = 115013923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115013923) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 447397 + ... + 447653.

Almost surely, 2115013925 is an apocalyptic number.

115013925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115013925 is an abundant number, since it is smaller than the sum of its proper divisors (128861091).

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

115013925 is a wasteful number, since it uses less digits than its factorization.

115013925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 115013925 is about 10724.4545315834. The cubic root of 115013925 is about 486.3140402874.

The spelling of 115013925 in words is "one hundred fifteen million, thirteen thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 27 39 45 51 65 75 81 85 117 135 153 195 221 225 255 257 325 351 405 425 459 585 663 675 765 771 975 1053 1105 1275 1285 1377 1755 1989 2025 2295 2313 2925 3315 3341 3825 3855 4369 5265 5525 5967 6425 6885 6939 8775 9945 10023 11475 11565 13107 16575 16705 17901 19275 20817 21845 26325 29835 30069 34425 34695 39321 49725 50115 56797 57825 65535 83525 89505 90207 104085 109225 117963 149175 150345 170391 173475 196605 250575 270621 283985 327675 353889 447525 451035 511173 520425 589815 751725 851955 983025 1353105 1419925 1533519 1769445 2255175 2555865 2949075 4259775 4600557 6765525 7667595 8847225 12779325 23002785 38337975 115013925