Search a number
-
+
12797792 = 257193197
BaseRepresentation
bin110000110100…
…011101100000
3220002012021022
4300310131200
511234012132
61134145012
7213531230
oct60643540
926065238
1012797792
117251197
124352168
132861177
1419b1cc0
1511cbe12
hexc34760

12797792 has 96 divisors (see below), whose sum is σ = 31610880. Its totient is φ = 4976640.

The previous prime is 12797777. The next prime is 12797797. The reversal of 12797792 is 29779721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12797797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131888 + ... + 131984.

It is an arithmetic number, because the mean of its divisors is an integer number (329280).

Almost surely, 212797792 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 12797792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805440).

12797792 is an abundant number, since it is smaller than the sum of its proper divisors (18813088).

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

12797792 is a wasteful number, since it uses less digits than its factorization.

12797792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its digits is 111132, while the sum is 44.

The square root of 12797792 is about 3577.4001733102. The cubic root of 12797792 is about 233.9079678020.

The spelling of 12797792 in words is "twelve million, seven hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 97 112 124 133 152 194 217 224 248 266 304 388 434 496 532 589 608 679 776 868 992 1064 1178 1358 1552 1736 1843 2128 2356 2716 3007 3104 3472 3686 4123 4256 4712 5432 6014 6944 7372 8246 9424 10864 12028 12901 14744 16492 18848 21049 21728 24056 25802 29488 32984 42098 48112 51604 57133 58976 65968 84196 96224 103208 114266 131936 168392 206416 228532 336784 399931 412832 457064 673568 799862 914128 1599724 1828256 3199448 6398896 12797792