Search a number
-
+
12807774 = 2337311093
BaseRepresentation
bin110000110110…
…111001011110
3220002200222000
4300312321132
511234322044
61134303130
7213602310
oct60667136
926080860
1012807774
117258741
124357aa6
132865885
1419b57b0
1511ced69
hexc36e5e

12807774 has 64 divisors (see below), whose sum is σ = 33607680. Its totient is φ = 3538080.

The previous prime is 12807737. The next prime is 12807791. The reversal of 12807774 is 47770821.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11172 + ... + 12264.

It is an arithmetic number, because the mean of its divisors is an integer number (525120).

Almost surely, 212807774 is an apocalyptic number.

12807774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12807774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16803840).

12807774 is an abundant number, since it is smaller than the sum of its proper divisors (20799906).

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

12807774 is a wasteful number, since it uses less digits than its factorization.

12807774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 12807774 is about 3578.7950486162. The cubic root of 12807774 is about 233.9687663769.

The spelling of 12807774 in words is "twelve million, eight hundred seven thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1093 1302 1674 1953 2186 3279 3906 5859 6558 7651 9837 11718 15302 19674 22953 29511 33883 45906 59022 67766 68859 101649 137718 203298 206577 237181 304947 413154 474362 609894 711543 914841 1423086 1829682 2134629 4269258 6403887 12807774