Search a number
-
+
1293168 = 24329929
BaseRepresentation
bin100111011101101110000
32102200220010
410323231300
5312340133
643414520
713664112
oct4735560
92380803
101293168
11803638
12524440
133637b6
142593b2
151a8263
hex13bb70

1293168 has 40 divisors (see below), whose sum is σ = 3459600. Its totient is φ = 415744.

The previous prime is 1293157. The next prime is 1293169. The reversal of 1293168 is 8613921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293169) 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, 928 + ... + 1856.

It is an arithmetic number, because the mean of its divisors is an integer number (86490).

21293168 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 1293168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729800).

1293168 is an abundant number, since it is smaller than the sum of its proper divisors (2166432).

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

1293168 is a wasteful number, since it uses less digits than its factorization.

1293168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 963 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 1293168 is about 1137.1754482049. The cubic root of 1293168 is about 108.9477627542.

The spelling of 1293168 in words is "one million, two hundred ninety-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 929 1392 1858 2787 3716 5574 7432 11148 14864 22296 26941 44592 53882 80823 107764 161646 215528 323292 431056 646584 1293168