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3126236085 = 3257831091097
BaseRepresentation
bin1011101001010110…
…1001001110110101
322001212120020200200
42322111221032311
522400304023320
61234114031113
7140320365630
oct27225511665
98055506620
103126236085
111364751495
12732b78499
133aa8b2a4b
142192a6c17
151346cc290
hexba5693b5

3126236085 has 96 divisors (see below), whose sum is σ = 6330804480. Its totient is φ = 1397689344.

The previous prime is 3126236077. The next prime is 3126236093. The reversal of 3126236085 is 5806326213.

It is a happy number.

3126236085 is a `hidden beast` number, since 3 + 1 + 26 + 23 + 608 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (3126236077) and next prime (3126236093).

It is not a de Polignac number, because 3126236085 - 23 = 3126236077 is a prime.

It is a super-2 number, since 2×31262360852 = 19546704118312254450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2849257 + ... + 2850353.

It is an arithmetic number, because the mean of its divisors is an integer number (65945880).

Almost surely, 23126236085 is an apocalyptic number.

3126236085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3126236085 is an abundant number, since it is smaller than the sum of its proper divisors (3204568395).

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

3126236085 is a wasteful number, since it uses less digits than its factorization.

3126236085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3126236085 is about 55912.7542247742. The cubic root of 3126236085 is about 1462.2016082010.

The spelling of 3126236085 in words is "three billion, one hundred twenty-six million, two hundred thirty-six thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 83 105 109 249 315 327 415 545 581 747 763 981 1097 1245 1635 1743 2289 2905 3291 3735 3815 4905 5229 5485 6867 7679 8715 9047 9873 11445 16455 23037 26145 27141 34335 38395 45235 49365 63329 69111 81423 91051 115185 119573 135705 189987 273153 316645 345555 358719 407115 455255 569961 597865 637357 819459 837011 949935 1076157 1365765 1793595 1912071 2511033 2849805 3186785 4097295 4185055 5380785 5736213 7533099 9560355 9924559 12555165 28681065 29773677 37665495 49622795 69471913 89321031 148868385 208415739 347359565 446605155 625247217 1042078695 3126236085