Search a number
-
+
12675320 = 2357229223
BaseRepresentation
bin110000010110…
…100011111000
3212211222021022
4300112203320
511221102240
61131402012
7212511200
oct60264370
925758238
1012675320
117178179
1242b3308
13281a4b8
14197d400
1511a59b5
hexc168f8

12675320 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 4177152.

The previous prime is 12675317. The next prime is 12675329. The reversal of 12675320 is 2357621.

It is a self number, because there is not a number n which added to its sum of digits gives 12675320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12675329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56729 + ... + 56951.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 212675320 is an apocalyptic number.

12675320 is a gapful number since it is divisible by the number (10) 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 12675320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

12675320 is an abundant number, since it is smaller than the sum of its proper divisors (21798280).

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

12675320 is a wasteful number, since it uses less digits than its factorization.

12675320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 12675320 is about 3560.2415648380. The cubic root of 12675320 is about 233.1594259716.

The spelling of 12675320 in words is "twelve million, six hundred seventy-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 223 232 245 280 290 392 406 446 490 580 812 892 980 1015 1115 1160 1421 1561 1624 1784 1960 2030 2230 2842 3122 4060 4460 5684 6244 6467 7105 7805 8120 8920 10927 11368 12488 12934 14210 15610 21854 25868 28420 31220 32335 43708 45269 51736 54635 56840 62440 64670 87416 90538 109270 129340 181076 218540 226345 258680 316883 362152 437080 452690 633766 905380 1267532 1584415 1810760 2535064 3168830 6337660 12675320