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13659690 = 2351125371
BaseRepresentation
bin110100000110…
…111000101010
3221200222120110
4310012320222
511444102230
61204435150
7224051112
oct64067052
927628513
1013659690
11778a800
1246a8ab6
132aa3575
141b58042
1512ec4b0
hexd06e2a

13659690 has 96 divisors (see below), whose sum is σ = 37231488. Its totient is φ = 3203200.

The previous prime is 13659661. The next prime is 13659703. The reversal of 13659690 is 9695631.

It is a super-2 number, since 2×136596902 = 373174261792200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 192355 + ... + 192425.

It is an arithmetic number, because the mean of its divisors is an integer number (387828).

Almost surely, 213659690 is an apocalyptic number.

13659690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13659690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744).

13659690 is an abundant number, since it is smaller than the sum of its proper divisors (23571798).

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

13659690 is a wasteful number, since it uses less digits than its factorization.

13659690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 13659690 is about 3695.9017844093. The cubic root of 13659690 is about 239.0453395773.

The spelling of 13659690 in words is "thirteen million, six hundred fifty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 71 106 110 121 142 159 165 213 242 265 318 330 355 363 426 530 583 605 710 726 781 795 1065 1166 1210 1562 1590 1749 1815 2130 2343 2915 3498 3630 3763 3905 4686 5830 6413 7526 7810 8591 8745 11289 11715 12826 17182 17490 18815 19239 22578 23430 25773 32065 37630 38478 41393 42955 51546 56445 64130 82786 85910 96195 112890 124179 128865 192390 206965 248358 257730 413930 455323 620895 910646 1241790 1365969 2276615 2731938 4553230 6829845 13659690