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13032640 = 265139293
BaseRepresentation
bin110001101101…
…110011000000
3220112010102101
4301231303000
511314021030
61143200144
7215530015
oct61556300
926463371
1013032640
1173a1685
124446054
13291402a
141a3370c
1512267ca
hexc6dcc0

13032640 has 56 divisors (see below), whose sum is σ = 31363920. Its totient is φ = 5157888.

The previous prime is 13032623. The next prime is 13032653. The reversal of 13032640 is 4623031.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 44334 + ... + 44626.

It is an arithmetic number, because the mean of its divisors is an integer number (560070).

Almost surely, 213032640 is an apocalyptic number.

13032640 is a gapful number since it is divisible by the number (10) 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 13032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15681960).

13032640 is an abundant number, since it is smaller than the sum of its proper divisors (18331280).

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

13032640 is a wasteful number, since it uses less digits than its factorization.

13032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 13032640 is about 3610.0747914690. The cubic root of 13032640 is about 235.3300929307.

Adding to 13032640 its reverse (4623031), we get a palindrome (17655671).

The spelling of 13032640 in words is "thirteen million, thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 139 160 278 293 320 556 586 695 1112 1172 1390 1465 2224 2344 2780 2930 4448 4688 5560 5860 8896 9376 11120 11720 18752 22240 23440 40727 44480 46880 81454 93760 162908 203635 325816 407270 651632 814540 1303264 1629080 2606528 3258160 6516320 13032640