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13845468 = 22371331409
BaseRepresentation
bin110100110100…
…001111011100
3222001102102010
4310310033130
512021023333
61212431220
7225453540
oct64641734
928042363
1013845468
1178a733a
124778510
132b39cb0
141ba5a20
151337563
hexd343dc

13845468 has 96 divisors (see below), whose sum is σ = 41144320. Its totient is φ = 3525120.

The previous prime is 13845449. The next prime is 13845473. The reversal of 13845468 is 86454831.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33648 + ... + 34056.

Almost surely, 213845468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13845468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20572160).

13845468 is an abundant number, since it is smaller than the sum of its proper divisors (27298852).

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

13845468 is a wasteful number, since it uses less digits than its factorization.

13845468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 13845468 is about 3720.9498787272. The cubic root of 13845468 is about 240.1241718557.

The spelling of 13845468 in words is "thirteen million, eight hundred forty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 409 434 546 651 806 818 868 1092 1209 1227 1302 1612 1636 2418 2454 2604 2821 2863 4836 4908 5317 5642 5726 8463 8589 10634 11284 11452 12679 15951 16926 17178 21268 25358 31902 33852 34356 37219 38037 50716 63804 74438 76074 88753 111657 148876 152148 164827 177506 223314 266259 329654 355012 446628 494481 532518 659308 988962 1065036 1153789 1977924 2307578 3461367 4615156 6922734 13845468