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13360640 = 29517307
BaseRepresentation
bin110010111101…
…111000000000
3221010210100112
4302331320000
511410020030
61154210452
7221364206
oct62757000
927123315
1013360640
1175a6057
124583a28
1329ca407
141abb076
15128da95
hexcbde00

13360640 has 80 divisors (see below), whose sum is σ = 34029072. Its totient is φ = 5013504.

The previous prime is 13360637. The next prime is 13360649. The reversal of 13360640 is 4606331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13360649) 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 7 ways as a sum of consecutive naturals, for example, 43367 + ... + 43673.

Almost surely, 213360640 is an apocalyptic number.

13360640 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 13360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014536).

13360640 is an abundant number, since it is smaller than the sum of its proper divisors (20668432).

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

13360640 is an equidigital number, since it uses as much as digits as its factorization.

13360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 13360640 is about 3655.2209235558. The cubic root of 13360640 is about 237.2879880825.

Adding to 13360640 its reverse (4606331), we get a palindrome (17966971).

The spelling of 13360640 in words is "thirteen million, three hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 307 320 340 512 544 614 640 680 1088 1228 1280 1360 1535 2176 2456 2560 2720 3070 4352 4912 5219 5440 6140 8704 9824 10438 10880 12280 19648 20876 21760 24560 26095 39296 41752 43520 49120 52190 78592 83504 98240 104380 157184 167008 196480 208760 334016 392960 417520 668032 785920 835040 1336064 1670080 2672128 3340160 6680320 13360640