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13639032 = 233211171013
BaseRepresentation
bin110100000001…
…110101111000
3221122221020100
4310001311320
511442422112
61204155400
7223633641
oct64016570
927587210
1013639032
117776230
124698b60
132a97044
141b506c8
1512e62dc
hexd01d78

13639032 has 96 divisors (see below), whose sum is σ = 42709680. Its totient is φ = 3886080.

The previous prime is 13639009. The next prime is 13639037. The reversal of 13639032 is 23093631.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13638987 and 13639005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13639037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12958 + ... + 13970.

Almost surely, 213639032 is an apocalyptic number.

13639032 is a gapful number since it is divisible by the number (12) 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 13639032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21354840).

13639032 is an abundant number, since it is smaller than the sum of its proper divisors (29070648).

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

13639032 is a wasteful number, since it uses less digits than its factorization.

13639032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 13639032 is about 3693.1060098513. The cubic root of 13639032 is about 238.9247733927.

The spelling of 13639032 in words is "thirteen million, six hundred thirty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1013 1122 1224 1496 1683 2026 2244 3039 3366 4052 4488 6078 6732 8104 9117 11143 12156 13464 17221 18234 22286 24312 33429 34442 36468 44572 51663 66858 68884 72936 89144 100287 103326 133716 137768 154989 189431 200574 206652 267432 309978 378862 401148 413304 568293 619956 757724 802296 1136586 1239912 1515448 1704879 2273172 3409758 4546344 6819516 13639032