Search a number
-
+
3160768 = 261329131
BaseRepresentation
bin1100000011101011000000
312221120202111
430003223000
51302121033
6151425104
735603032
oct14035300
95846674
103160768
111869806
121085194
138688a0
145c3c52
154267cd
hex303ac0

3160768 has 56 divisors (see below), whose sum is σ = 7040880. Its totient is φ = 1397760.

The previous prime is 3160757. The next prime is 3160769. The reversal of 3160768 is 8670613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3160769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24063 + ... + 24193.

It is an arithmetic number, because the mean of its divisors is an integer number (125730).

Almost surely, 23160768 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 3160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520440).

3160768 is an abundant number, since it is smaller than the sum of its proper divisors (3880112).

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

3160768 is a wasteful number, since it uses less digits than its factorization.

3160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 3160768 is about 1777.8548872166. The cubic root of 3160768 is about 146.7565656384.

The spelling of 3160768 in words is "three million, one hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 131 208 232 262 377 416 464 524 754 832 928 1048 1508 1703 1856 2096 3016 3406 3799 4192 6032 6812 7598 8384 12064 13624 15196 24128 27248 30392 49387 54496 60784 98774 108992 121568 197548 243136 395096 790192 1580384 3160768