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12770520 = 2335723661
BaseRepresentation
bin110000101101…
…110011011000
3220000210212020
4300231303120
511232124040
61133414440
7213355560
oct60556330
926023766
1012770520
117232754
12433a420
132851929
1419a5da0
1511c3cd0
hexc2dcd8

12770520 has 128 divisors (see below), whose sum is σ = 45757440. Its totient is φ = 2787840.

The previous prime is 12770507. The next prime is 12770551. The reversal of 12770520 is 2507721.

12770520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 18990 + ... + 19650.

It is an arithmetic number, because the mean of its divisors is an integer number (357480).

Almost surely, 212770520 is an apocalyptic number.

12770520 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 12770520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22878720).

12770520 is an abundant number, since it is smaller than the sum of its proper divisors (32986920).

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

12770520 is a wasteful number, since it uses less digits than its factorization.

12770520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 12770520 is about 3573.5864338225. The cubic root of 12770520 is about 233.7416975899.

The spelling of 12770520 in words is "twelve million, seven hundred seventy thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 661 690 805 840 920 966 1288 1322 1380 1610 1932 1983 2415 2644 2760 3220 3305 3864 3966 4627 4830 5288 6440 6610 7932 9254 9660 9915 13220 13881 15203 15864 18508 19320 19830 23135 26440 27762 30406 37016 39660 45609 46270 55524 60812 69405 76015 79320 91218 92540 106421 111048 121624 138810 152030 182436 185080 212842 228045 277620 304060 319263 364872 425684 456090 532105 555240 608120 638526 851368 912180 1064210 1277052 1596315 1824360 2128420 2554104 3192630 4256840 6385260 12770520