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10175085 = 3352329113
BaseRepresentation
bin100110110100…
…001001101101
3201010221121000
4212310021231
510101100320
61002030513
7152325654
oct46641155
921127530
1010175085
11581a768
1234a8439
13215347b
1414cc19b
15d5ec90
hex9b426d

10175085 has 64 divisors (see below), whose sum is σ = 19699200. Its totient is φ = 4967424.

The previous prime is 10175083. The next prime is 10175101. The reversal of 10175085 is 58057101.

10175085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10175085 - 21 = 10175083 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10175083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89989 + ... + 90101.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 210175085 is an apocalyptic number.

10175085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10175085 is a deficient number, since it is larger than the sum of its proper divisors (9524115).

10175085 is a wasteful number, since it uses less digits than its factorization.

10175085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 10175085 is about 3189.8409051236. The cubic root of 10175085 is about 216.6935653652.

The spelling of 10175085 in words is "ten million, one hundred seventy-five thousand, eighty-five".

Divisors: 1 3 5 9 15 23 27 29 45 69 87 113 115 135 145 207 261 339 345 435 565 621 667 783 1017 1035 1305 1695 2001 2599 3051 3105 3277 3335 3915 5085 6003 7797 9831 10005 12995 15255 16385 18009 23391 29493 30015 38985 49155 70173 75371 88479 90045 116955 147465 226113 350865 376855 442395 678339 1130565 2035017 3391695 10175085