Search a number
-
+
3113568 = 253219569
BaseRepresentation
bin1011111000001001100000
312212012000100
423320021200
51244113233
6150422400
735315313
oct13701140
95765010
103113568
1118372a7
121061a00
13850263
145b097a
15417813
hex2f8260

3113568 has 72 divisors (see below), whose sum is σ = 9336600. Its totient is φ = 981504.

The previous prime is 3113531. The next prime is 3113569. The reversal of 3113568 is 8653113.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5188 + ... + 5756.

It is an arithmetic number, because the mean of its divisors is an integer number (129675).

Almost surely, 23113568 is an apocalyptic number.

3113568 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668300).

3113568 is an abundant number, since it is smaller than the sum of its proper divisors (6223032).

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

3113568 is a wasteful number, since it uses less digits than its factorization.

3113568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 593 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 3113568 is about 1764.5305324647. The cubic root of 3113568 is about 146.0223897607.

It can be divided in two parts, 311356 and 8, that added together give a square (311364 = 5582).

The spelling of 3113568 in words is "three million, one hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 569 608 684 912 1138 1368 1707 1824 2276 2736 3414 4552 5121 5472 6828 9104 10242 10811 13656 18208 20484 21622 27312 32433 40968 43244 54624 64866 81936 86488 97299 129732 163872 172976 194598 259464 345952 389196 518928 778392 1037856 1556784 3113568