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12700380 = 22357112749
BaseRepresentation
bin110000011100…
…101011011100
3212220020122110
4300130223130
511222403010
61132114020
7212644230
oct60345334
925806573
1012700380
117194a90
124305910
132828a24
1419885c0
1511ad120
hexc1cadc

12700380 has 96 divisors (see below), whose sum is σ = 44352000. Its totient is φ = 2638080.

The previous prime is 12700333. The next prime is 12700397. The reversal of 12700380 is 8300721.

12700380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127003802 = 322599304288800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 3246 + ... + 5994.

It is an arithmetic number, because the mean of its divisors is an integer number (462000).

Almost surely, 212700380 is an apocalyptic number.

12700380 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 12700380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22176000).

12700380 is an abundant number, since it is smaller than the sum of its proper divisors (31651620).

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

12700380 is a wasteful number, since it uses less digits than its factorization.

12700380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12700380 is about 3563.7592511279. The cubic root of 12700380 is about 233.3129823521.

The spelling of 12700380 in words is "twelve million, seven hundred thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 2749 4620 5498 8247 10996 13745 16494 19243 27490 30239 32988 38486 41235 54980 57729 60478 76972 82470 90717 96215 115458 120956 151195 164940 181434 192430 211673 230916 288645 302390 362868 384860 423346 453585 577290 604780 635019 846692 907170 1058365 1154580 1270038 1814340 2116730 2540076 3175095 4233460 6350190 12700380