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12717984 = 253137967
BaseRepresentation
bin110000100000…
…111110100000
3212221010210110
4300200332200
511223433414
61132331320
7213046446
oct60407640
925833713
1012717984
1171a7234
124313b40
132833a46
141990b96
1511b3459
hexc20fa0

12717984 has 48 divisors (see below), whose sum is σ = 33663168. Its totient is φ = 4204032.

The previous prime is 12717983. The next prime is 12718003. The reversal of 12717984 is 48971721.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12717983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12669 + ... + 13635.

It is an arithmetic number, because the mean of its divisors is an integer number (701316).

Almost surely, 212717984 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 12717984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16831584).

12717984 is an abundant number, since it is smaller than the sum of its proper divisors (20945184).

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

12717984 is a wasteful number, since it uses less digits than its factorization.

12717984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1109 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 12717984 is about 3566.2282596603. The cubic root of 12717984 is about 233.4207309790.

The spelling of 12717984 in words is "twelve million, seven hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 967 1096 1644 1934 2192 2901 3288 3868 4384 5802 6576 7736 11604 13152 15472 23208 30944 46416 92832 132479 264958 397437 529916 794874 1059832 1589748 2119664 3179496 4239328 6358992 12717984