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13581906 = 23133141137
BaseRepresentation
bin110011110011…
…111001010010
3221120000212120
4303303321102
511434110111
61203035110
7223305252
oct63637122
927500776
1013581906
117737318
12466ba96
132a77040
141b37962
1512d4406
hexcf3e52

13581906 has 64 divisors (see below), whose sum is σ = 31159296. Its totient is φ = 3916800.

The previous prime is 13581899. The next prime is 13581907. The reversal of 13581906 is 60918531.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13581907) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99070 + ... + 99206.

It is an arithmetic number, because the mean of its divisors is an integer number (486864).

Almost surely, 213581906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13581906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579648).

13581906 is an abundant number, since it is smaller than the sum of its proper divisors (17577390).

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

13581906 is a wasteful number, since it uses less digits than its factorization.

13581906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 13581906 is about 3685.3637540954. The cubic root of 13581906 is about 238.5907341263.

The spelling of 13581906 in words is "thirteen million, five hundred eighty-one thousand, nine hundred six".

Divisors: 1 2 3 6 13 26 31 39 41 62 78 82 93 123 137 186 246 274 403 411 533 806 822 1066 1209 1271 1599 1781 2418 2542 3198 3562 3813 4247 5343 5617 7626 8494 10686 11234 12741 16523 16851 25482 33046 33702 49569 55211 73021 99138 110422 146042 165633 174127 219063 331266 348254 438126 522381 1044762 2263651 4527302 6790953 13581906