Search a number
-
+
12773124 = 22327213557
BaseRepresentation
bin110000101110…
…011100000100
3220000221102200
4300232130010
511232214444
61133434500
7213366300
oct60563404
926027380
1012773124
117234701
12433ba30
132852b80
1419a6d00
1511c4969
hexc2e704

12773124 has 108 divisors (see below), whose sum is σ = 40520844. Its totient is φ = 3362688.

The previous prime is 12773093. The next prime is 12773129. The reversal of 12773124 is 42137721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1483524 + 11289600 = 1218^2 + 3360^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12773129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22654 + ... + 23210.

It is an arithmetic number, because the mean of its divisors is an integer number (375193).

Almost surely, 212773124 is an apocalyptic number.

12773124 is a gapful number since it is divisible by the number (14) 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 12773124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260422).

12773124 is an abundant number, since it is smaller than the sum of its proper divisors (27747720).

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

12773124 is a wasteful number, since it uses less digits than its factorization.

12773124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 582 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 12773124 is about 3573.9507551168. The cubic root of 12773124 is about 233.7575837093.

The spelling of 12773124 in words is "twelve million, seven hundred seventy-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 557 588 637 819 882 1092 1114 1274 1638 1671 1764 1911 2228 2548 3276 3342 3822 3899 5013 5733 6684 7241 7644 7798 10026 11466 11697 14482 15596 20052 21723 22932 23394 27293 28964 35091 43446 46788 50687 54586 65169 70182 81879 86892 101374 109172 130338 140364 152061 163758 202748 245637 260676 304122 327516 354809 456183 491274 608244 709618 912366 982548 1064427 1419236 1824732 2128854 3193281 4257708 6386562 12773124