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3285126 = 23213101139
BaseRepresentation
bin1100100010000010000110
320011220100100
430202002012
51320111001
6154224530
736631425
oct14420206
96156310
103285126
111944189
121125146
138b0380
146172bc
1544d586
hex322086

3285126 has 48 divisors (see below), whose sum is σ = 7796880. Its totient is φ = 993600.

The previous prime is 3285103. The next prime is 3285127. The reversal of 3285126 is 6215823.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3285126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23565 + ... + 23703.

It is an arithmetic number, because the mean of its divisors is an integer number (162435).

Almost surely, 23285126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898440).

3285126 is an abundant number, since it is smaller than the sum of its proper divisors (4511754).

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

3285126 is a wasteful number, since it uses less digits than its factorization.

3285126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 258 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 3285126 is about 1812.4916551532. The cubic root of 3285126 is about 148.6565366309.

It can be divided in two parts, 32 and 85126, that added together give a palindrome (85158).

The spelling of 3285126 in words is "three million, two hundred eighty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 139 202 234 278 303 417 606 834 909 1251 1313 1807 1818 2502 2626 3614 3939 5421 7878 10842 11817 14039 16263 23634 28078 32526 42117 84234 126351 182507 252702 365014 547521 1095042 1642563 3285126