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12718380 = 22351737337
BaseRepresentation
bin110000100001…
…000100101100
3212221011100010
4300201010230
511223442010
61132333220
7213050553
oct60410454
925834303
1012718380
1171a7564
124314210
132833c8c
141990d9a
1511b3620
hexc2112c

12718380 has 96 divisors (see below), whose sum is σ = 38840256. Its totient is φ = 3096576.

The previous prime is 12718351. The next prime is 12718403. The reversal of 12718380 is 8381721.

It is a happy number.

12718380 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 37572 + ... + 37908.

It is an arithmetic number, because the mean of its divisors is an integer number (404586).

Almost surely, 212718380 is an apocalyptic number.

12718380 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 12718380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19420128).

12718380 is an abundant number, since it is smaller than the sum of its proper divisors (26121876).

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

12718380 is a wasteful number, since it uses less digits than its factorization.

12718380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 12718380 is about 3566.2837800714. The cubic root of 12718380 is about 233.4231536284.

The spelling of 12718380 in words is "twelve million, seven hundred eighteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 337 340 370 444 510 555 629 674 740 1011 1020 1110 1258 1348 1685 1887 2022 2220 2516 3145 3370 3774 4044 5055 5729 6290 6740 7548 9435 10110 11458 12469 12580 17187 18870 20220 22916 24938 28645 34374 37407 37740 49876 57290 62345 68748 74814 85935 114580 124690 149628 171870 187035 211973 249380 343740 374070 423946 635919 748140 847892 1059865 1271838 2119730 2543676 3179595 4239460 6359190 12718380