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13332165 = 3572111797
BaseRepresentation
bin110010110110…
…111011000101
3221002100021220
4302312323011
511403112130
61153430553
7221215200
oct62667305
927070256
1013332165
117586720
12456b459
1329ba472
141ab0937
151285410
hexcb6ec5

13332165 has 96 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 5160960.

The previous prime is 13332113. The next prime is 13332169. The reversal of 13332165 is 56123331.

It is a happy number.

It is not a de Polignac number, because 13332165 - 27 = 13332037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137397 + ... + 137493.

It is an arithmetic number, because the mean of its divisors is an integer number (301644).

Almost surely, 213332165 is an apocalyptic number.

13332165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13332165 is an abundant number, since it is smaller than the sum of its proper divisors (15625659).

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

13332165 is a wasteful number, since it uses less digits than its factorization.

13332165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 13332165 is about 3651.3237325660. The cubic root of 13332165 is about 237.1192940353.

Adding to 13332165 its reverse (56123331), we get a palindrome (69455496).

It can be divided in two parts, 133321 and 65, that added together give a triangular number (133386 = T516).

The spelling of 13332165 in words is "thirteen million, three hundred thirty-two thousand, one hundred sixty-five".

Divisors: 1 3 5 7 11 15 17 21 33 35 49 51 55 77 85 97 105 119 147 165 187 231 245 255 291 357 385 485 539 561 595 679 735 833 935 1067 1155 1309 1455 1617 1649 1785 2037 2499 2695 2805 3201 3395 3927 4165 4753 4947 5335 6545 7469 8085 8245 9163 10185 11543 12495 14259 16005 18139 19635 22407 23765 24735 27489 34629 37345 45815 52283 54417 57715 71295 80801 90695 112035 126973 137445 156849 173145 242403 261415 272085 380919 404005 634865 784245 888811 1212015 1904595 2666433 4444055 13332165