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207893153 = 132172692
BaseRepresentation
bin11000110010000…
…11001010100001
3112111012001210102
430121003022201
5411210040103
632343512145
75103030326
oct1431031241
9474161712
10207893153
11a7394226
1259758655
13340bbc00
141d878b4d
15133b7e88
hexc6432a1

207893153 has 18 divisors (see below), whose sum is σ = 239246514. Its totient is φ = 179941632.

The previous prime is 207893087. The next prime is 207893177. The reversal of 207893153 is 351398702.

It can be written as a sum of positive squares in 9 ways, for example, as 174979984 + 32913169 = 13228^2 + 5737^2 .

It is not a de Polignac number, because 207893153 - 28 = 207892897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (207893353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 772703 + ... + 772971.

It is an arithmetic number, because the mean of its divisors is an integer number (13291473).

Almost surely, 2207893153 is an apocalyptic number.

It is an amenable number.

207893153 is a deficient number, since it is larger than the sum of its proper divisors (31353361).

207893153 is an equidigital number, since it uses as much as digits as its factorization.

207893153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 207893153 is about 14418.5003727850. The cubic root of 207893153 is about 592.3977431582.

The spelling of 207893153 in words is "two hundred seven million, eight hundred ninety-three thousand, one hundred fifty-three".

Divisors: 1 13 17 169 221 269 2873 3497 4573 45461 59449 72361 772837 940693 1230137 12229009 15991781 207893153