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12830064 = 2431329709
BaseRepresentation
bin110000111100…
…010101110000
3220010211112120
4300330111300
511241030224
61134554240
7214024302
oct60742560
926124476
1012830064
117273465
124368980
132872a70
1419bd972
1511d6779
hexc3c570

12830064 has 80 divisors (see below), whose sum is σ = 36976800. Its totient is φ = 3806208.

The previous prime is 12830047. The next prime is 12830101. The reversal of 12830064 is 46003821.

It is a happy number.

It is a super-2 number, since 2×128300642 = 329221084488192, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17742 + ... + 18450.

It is an arithmetic number, because the mean of its divisors is an integer number (462210).

Almost surely, 212830064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12830064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18488400).

12830064 is an abundant number, since it is smaller than the sum of its proper divisors (24146736).

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

12830064 is a wasteful number, since it uses less digits than its factorization.

12830064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12830064 is about 3581.9078715121. The cubic root of 12830064 is about 234.1044168374.

Adding to 12830064 its reverse (46003821), we get a palindrome (58833885).

The spelling of 12830064 in words is "twelve million, eight hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 709 754 1131 1392 1418 1508 2127 2262 2836 3016 4254 4524 5672 6032 8508 9048 9217 11344 17016 18096 18434 20561 27651 34032 36868 41122 55302 61683 73736 82244 110604 123366 147472 164488 221208 246732 267293 328976 442416 493464 534586 801879 986928 1069172 1603758 2138344 3207516 4276688 6415032 12830064