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12669216 = 2537171109
BaseRepresentation
bin110000010101…
…000100100000
3212211122220020
4300111010200
511220403331
61131313440
7212454330
oct60250440
925748806
1012669216
11717362a
1242ab880
1328177a1
14197b0c0
1511a3c96
hexc15120

12669216 has 96 divisors (see below), whose sum is σ = 40279680. Its totient is φ = 3403776.

The previous prime is 12669211. The next prime is 12669229. The reversal of 12669216 is 61296621.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12669211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10870 + ... + 11978.

It is an arithmetic number, because the mean of its divisors is an integer number (419580).

Almost surely, 212669216 is an apocalyptic number.

12669216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12669216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139840).

12669216 is an abundant number, since it is smaller than the sum of its proper divisors (27610464).

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

12669216 is a wasteful number, since it uses less digits than its factorization.

12669216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1138 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 12669216 is about 3559.3842164060. The cubic root of 12669216 is about 233.1219927641.

The spelling of 12669216 in words is "twelve million, six hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1109 1428 1632 1904 2218 2856 3327 3808 4436 5712 6654 7763 8872 11424 13308 15526 17744 18853 23289 26616 31052 35488 37706 46578 53232 56559 62104 75412 93156 106464 113118 124208 131971 150824 186312 226236 248416 263942 301648 372624 395913 452472 527884 603296 745248 791826 904944 1055768 1583652 1809888 2111536 3167304 4223072 6334608 12669216