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12698064 = 2432109809
BaseRepresentation
bin110000011100…
…000111010000
3212220010110200
4300130013100
511222314224
61132055200
7212634411
oct60340720
925803420
1012698064
117193275
124304500
132827962
141987808
1511ac5c9
hexc1c1d0

12698064 has 60 divisors (see below), whose sum is σ = 35907300. Its totient is φ = 4188672.

The previous prime is 12698057. The next prime is 12698089. The reversal of 12698064 is 46089621.

It can be written as a sum of positive squares in 2 ways, for example, as 10112400 + 2585664 = 3180^2 + 1608^2 .

It is a super-2 number, since 2×126980642 = 322481658696192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15292 + ... + 16100.

It is an arithmetic number, because the mean of its divisors is an integer number (598455).

Almost surely, 212698064 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 12698064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17953650).

12698064 is an abundant number, since it is smaller than the sum of its proper divisors (23209236).

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

12698064 is a wasteful number, since it uses less digits than its factorization.

12698064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12698064 is about 3563.4342985384. The cubic root of 12698064 is about 233.2987994243.

The spelling of 12698064 in words is "twelve million, six hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 809 872 981 1308 1618 1744 1962 2427 2616 3236 3924 4854 5232 6472 7281 7848 9708 12944 14562 15696 19416 29124 38832 58248 88181 116496 176362 264543 352724 529086 705448 793629 1058172 1410896 1587258 2116344 3174516 4232688 6349032 12698064