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12756030 = 23571923139
BaseRepresentation
bin110000101010…
…010000111110
3220000001222120
4300222100332
511231143110
61133223410
7213265410
oct60522076
926001876
1012756030
117222881
124331b66
132848161
1419a09b0
1511be870
hexc2a43e

12756030 has 128 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 2623104.

The previous prime is 12756019. The next prime is 12756031. The reversal of 12756030 is 3065721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12756031) 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 63 ways as a sum of consecutive naturals, for example, 91701 + ... + 91839.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 212756030 is an apocalyptic number.

12756030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12756030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

12756030 is an abundant number, since it is smaller than the sum of its proper divisors (25951170).

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

12756030 is a wasteful number, since it uses less digits than its factorization.

12756030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 12756030 is about 3571.5584833515. The cubic root of 12756030 is about 233.6532595574.

The spelling of 12756030 in words is "twelve million, seven hundred fifty-six thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 23 30 35 38 42 46 57 69 70 95 105 114 115 133 138 139 161 190 210 230 266 278 285 322 345 399 417 437 483 570 665 690 695 798 805 834 874 966 973 1311 1330 1390 1610 1946 1995 2085 2185 2415 2622 2641 2919 3059 3197 3990 4170 4370 4830 4865 5282 5838 6118 6394 6555 7923 9177 9591 9730 13110 13205 14595 15295 15846 15985 18354 18487 19182 22379 26410 29190 30590 31970 36974 39615 44758 45885 47955 55461 60743 67137 79230 91770 92435 95910 110922 111895 121486 134274 182229 184870 223790 277305 303715 335685 364458 425201 554610 607430 671370 850402 911145 1275603 1822290 2126005 2551206 4252010 6378015 12756030