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12698664 = 23311103467
BaseRepresentation
bin110000011100…
…010000101000
3212220011021220
4300130100220
511222324124
61132102040
7212636226
oct60342050
925804256
1012698664
117193770
124304920
132828004
141987b16
1511ac879
hexc1c428

12698664 has 64 divisors (see below), whose sum is σ = 35043840. Its totient is φ = 3802560.

The previous prime is 12698663. The next prime is 12698681. The reversal of 12698664 is 46689621.

It is a super-2 number, since 2×126986642 = 322512134769792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12698663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26959 + ... + 27425.

It is an arithmetic number, because the mean of its divisors is an integer number (547560).

Almost surely, 212698664 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 12698664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521920).

12698664 is an abundant number, since it is smaller than the sum of its proper divisors (22345176).

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

12698664 is a wasteful number, since it uses less digits than its factorization.

12698664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 586 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 12698664 is about 3563.5184859911. The cubic root of 12698664 is about 233.3024739234.

It can be divided in two parts, 126 and 98664, that added together give a triangular number (98790 = T444).

The spelling of 12698664 in words is "twelve million, six hundred ninety-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 467 618 824 934 1133 1236 1401 1868 2266 2472 2802 3399 3736 4532 5137 5604 6798 9064 10274 11208 13596 15411 20548 27192 30822 41096 48101 61644 96202 123288 144303 192404 288606 384808 529111 577212 1058222 1154424 1587333 2116444 3174666 4232888 6349332 12698664