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118052025 = 3527313353
BaseRepresentation
bin1110000100101…
…01010010111001
322020010122221020
413002111102321
5220210131100
615414133053
72632266000
oct702252271
9266118836
10118052025
1160701263
1233651189
131b5c4390
141196dc37
15a56d5a0
hex70954b9

118052025 has 96 divisors (see below), whose sum is σ = 245817600. Its totient is φ = 49674240.

The previous prime is 118052017. The next prime is 118052027. The reversal of 118052025 is 520250811.

118052025 = 15122 + 15132 + ... + 15612.

It is not a de Polignac number, because 118052025 - 23 = 118052017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 118051986 and 118052004.

It is not an unprimeable number, because it can be changed into a prime (118052027) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 334249 + ... + 334601.

It is an arithmetic number, because the mean of its divisors is an integer number (2560600).

Almost surely, 2118052025 is an apocalyptic number.

118052025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

118052025 is an abundant number, since it is smaller than the sum of its proper divisors (127765575).

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

118052025 is a wasteful number, since it uses less digits than its factorization.

118052025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 118052025 is about 10865.1748720396. The cubic root of 118052025 is about 490.5588861107.

The spelling of 118052025 in words is "one hundred eighteen million, fifty-two thousand, twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 147 175 195 245 273 325 343 353 455 525 637 735 975 1029 1059 1225 1365 1715 1765 1911 2275 2471 3185 3675 4459 4589 5145 5295 6825 7413 8575 8825 9555 12355 13377 13767 15925 17297 22295 22945 25725 26475 32123 37065 47775 51891 61775 66885 68835 86485 96369 111475 114725 121079 160615 185325 224861 259455 334425 344175 363237 432425 481845 605395 674583 803075 1124305 1297275 1574027 1816185 2409225 3026975 3372915 4722081 5621525 7870135 9080925 16864575 23610405 39350675 118052025