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3138135 = 3571121319
BaseRepresentation
bin1011111110001001010111
312220102201020
423332021113
51300410020
6151132223
735450040
oct13761127
95812636
103138135
111853800
121074073
1385b4b0
145b98c7
1541ec40
hex2fe257

3138135 has 96 divisors (see below), whose sum is σ = 7150080. Its totient is φ = 1140480.

The previous prime is 3138131. The next prime is 3138137. The reversal of 3138135 is 5318313.

It is not a de Polignac number, because 3138135 - 22 = 3138131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165156 + ... + 165174.

It is an arithmetic number, because the mean of its divisors is an integer number (74480).

Almost surely, 23138135 is an apocalyptic number.

3138135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3138135 is an abundant number, since it is smaller than the sum of its proper divisors (4011945).

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

3138135 is a wasteful number, since it uses less digits than its factorization.

3138135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 58 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 3138135 is about 1771.4781963095. The cubic root of 3138135 is about 146.4054377777.

It can be divided in two parts, 313 and 8135, that added together give a palindrome (8448).

The spelling of 3138135 in words is "three million, one hundred thirty-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 7 11 13 15 19 21 33 35 39 55 57 65 77 91 95 105 121 133 143 165 195 209 231 247 273 285 363 385 399 429 455 605 627 665 715 741 847 1001 1045 1155 1235 1365 1463 1573 1729 1815 1995 2145 2299 2541 2717 3003 3135 3705 4235 4389 4719 5005 5187 6897 7315 7865 8151 8645 11011 11495 12705 13585 15015 16093 19019 21945 23595 25935 29887 33033 34485 40755 48279 55055 57057 80465 89661 95095 149435 165165 209209 241395 285285 448305 627627 1046045 3138135