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13047984 = 2432192251
BaseRepresentation
bin110001110001…
…100010110000
3220112220110200
4301301202300
511320013414
61143355200
7215622525
oct61614260
926486420
1013047984
117402164
124452b00
13291b001
141a3914c
15122b109
hexc718b0

13047984 has 90 divisors (see below), whose sum is σ = 38692836. Its totient is φ = 4104000.

The previous prime is 13047977. The next prime is 13047989. The reversal of 13047984 is 48974031.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13047989) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51859 + ... + 52109.

Almost surely, 213047984 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 13047984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346418).

13047984 is an abundant number, since it is smaller than the sum of its proper divisors (25644852).

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

13047984 is a wasteful number, since it uses less digits than its factorization.

13047984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13047984 is about 3612.1993300481. The cubic root of 13047984 is about 235.4224121326.

The spelling of 13047984 in words is "thirteen million, forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 251 304 342 361 456 502 684 722 753 912 1004 1083 1368 1444 1506 2008 2166 2259 2736 2888 3012 3249 4016 4332 4518 4769 5776 6024 6498 8664 9036 9538 12048 12996 14307 17328 18072 19076 25992 28614 36144 38152 42921 51984 57228 76304 85842 90611 114456 171684 181222 228912 271833 343368 362444 543666 686736 724888 815499 1087332 1449776 1630998 2174664 3261996 4349328 6523992 13047984