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13675068 = 2235111279
BaseRepresentation
bin110100001010…
…101000111100
3221201202200000
4310022220330
512000100233
61205034300
7224144001
oct64125074
927652600
1013675068
1177a0310
1246b5990
132aaa574
141b5d8a8
151301d13
hexd0aa3c

13675068 has 72 divisors (see below), whose sum is σ = 39137280. Its totient is φ = 4140720.

The previous prime is 13675049. The next prime is 13675091. The reversal of 13675068 is 86057631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10053 + ... + 11331.

Almost surely, 213675068 is an apocalyptic number.

13675068 is a gapful number since it is divisible by the number (18) 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 13675068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19568640).

13675068 is an abundant number, since it is smaller than the sum of its proper divisors (25462212).

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

13675068 is a wasteful number, since it uses less digits than its factorization.

13675068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 13675068 is about 3697.9816116363. The cubic root of 13675068 is about 239.1350112220.

The spelling of 13675068 in words is "thirteen million, six hundred seventy-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1279 1782 2558 2673 3564 3837 5116 5346 7674 10692 11511 14069 15348 23022 28138 34533 42207 46044 56276 69066 84414 103599 126621 138132 168828 207198 253242 310797 379863 414396 506484 621594 759726 1139589 1243188 1519452 2279178 3418767 4558356 6837534 13675068