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12299664 = 2431323857
BaseRepresentation
bin101110111010…
…110110010000
3212010212222010
4232322312100
511122042124
61115342520
7206355036
oct56726620
925125863
1012299664
116a40a13
124151a40
132718510
1418c2556
15112e529
hexbbad90

12299664 has 80 divisors (see below), whose sum is σ = 35747712. Its totient is φ = 3615744.

The previous prime is 12299663. The next prime is 12299681. The reversal of 12299664 is 46699221.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12299663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13924 + ... + 14780.

Almost surely, 212299664 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 12299664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

12299664 is an abundant number, since it is smaller than the sum of its proper divisors (23448048).

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

12299664 is a wasteful number, since it uses less digits than its factorization.

12299664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 898 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 12299664 is about 3507.0876806832. The cubic root of 12299664 is about 230.8329220438.

The spelling of 12299664 in words is "twelve million, two hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 857 897 1104 1196 1714 1794 2392 2571 3428 3588 4784 5142 6856 7176 10284 11141 13712 14352 19711 20568 22282 33423 39422 41136 44564 59133 66846 78844 89128 118266 133692 157688 178256 236532 256243 267384 315376 473064 512486 534768 768729 946128 1024972 1537458 2049944 3074916 4099888 6149832 12299664