Search a number
-
+
12943120 = 2451731307
BaseRepresentation
bin110001010111…
…111100010000
3220100120121211
4301113330100
511303134440
61141225504
7215005021
oct61277420
926316554
1012943120
1173403a3
124402294
1328b2368
141a0cc48
151209eea
hexc57f10

12943120 has 80 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 4700160.

The previous prime is 12943111. The next prime is 12943153. The reversal of 12943120 is 2134921.

12943120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12943091 and 12943100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42007 + ... + 42313.

Almost surely, 212943120 is an apocalyptic number.

12943120 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 12943120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

12943120 is an abundant number, since it is smaller than the sum of its proper divisors (20054768).

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

12943120 is a wasteful number, since it uses less digits than its factorization.

12943120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 12943120 is about 3597.6547916664. The cubic root of 12943120 is about 234.7900342774.

The spelling of 12943120 in words is "twelve million, nine hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 307 310 340 496 527 614 620 680 1054 1228 1240 1360 1535 2108 2456 2480 2635 3070 4216 4912 5219 5270 6140 8432 9517 10438 10540 12280 19034 20876 21080 24560 26095 38068 41752 42160 47585 52190 76136 83504 95170 104380 152272 161789 190340 208760 323578 380680 417520 647156 761360 808945 1294312 1617890 2588624 3235780 6471560 12943120