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3135076 = 227197183
BaseRepresentation
bin1011111101011001100100
312220021111221
423331121210
51300310301
6151110124
735435110
oct13753144
95807457
103135076
11185147a
121072344
13859c99
145b8740
1541dda1
hex2fd664

3135076 has 48 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 1239840.

The previous prime is 3135073. The next prime is 3135079. The reversal of 3135076 is 6705313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3135073) and next prime (3135079).

It is a self number, because there is not a number n which added to its sum of digits gives 3135076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37731 + ... + 37813.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

Almost surely, 23135076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

3135076 is an abundant number, since it is smaller than the sum of its proper divisors (3638684).

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

3135076 is a wasteful number, since it uses less digits than its factorization.

3135076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 3135076 is about 1770.6145825673. The cubic root of 3135076 is about 146.3578511449.

The spelling of 3135076 in words is "three million, one hundred thirty-five thousand, seventy-six".

Divisors: 1 2 4 7 14 19 28 38 71 76 83 133 142 166 266 284 332 497 532 581 994 1162 1349 1577 1988 2324 2698 3154 5396 5893 6308 9443 11039 11786 18886 22078 23572 37772 41251 44156 82502 111967 165004 223934 447868 783769 1567538 3135076