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13455540 = 22325759181
BaseRepresentation
bin110011010101…
…000010110100
3221022121112100
4303111002310
511421034130
61200222100
7222240660
oct63250264
927277470
1013455540
11766038a
12460a930
132a31677
141b038a0
1512abc60
hexcd50b4

13455540 has 144 divisors (see below), whose sum is σ = 47698560. Its totient is φ = 3006720.

The previous prime is 13455539. The next prime is 13455577. The reversal of 13455540 is 4555431.

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 47 ways as a sum of consecutive naturals, for example, 74250 + ... + 74430.

It is an arithmetic number, because the mean of its divisors is an integer number (331240).

Almost surely, 213455540 is an apocalyptic number.

13455540 is a gapful number since it is divisible by the number (10) 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 13455540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23849280).

13455540 is an abundant number, since it is smaller than the sum of its proper divisors (34243020).

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

13455540 is a wasteful number, since it uses less digits than its factorization.

13455540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 13455540 is about 3668.1793849265. The cubic root of 13455540 is about 237.8484782788.

The spelling of 13455540 in words is "thirteen million, four hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 59 60 63 70 84 90 105 118 126 140 177 180 181 210 236 252 295 315 354 362 413 420 531 543 590 630 708 724 826 885 905 1062 1086 1180 1239 1260 1267 1629 1652 1770 1810 2065 2124 2172 2478 2534 2655 2715 3258 3540 3620 3717 3801 4130 4956 5068 5310 5430 6195 6335 6516 7434 7602 8145 8260 10620 10679 10860 11403 12390 12670 14868 15204 16290 18585 19005 21358 22806 24780 25340 32037 32580 37170 38010 42716 45612 53395 57015 64074 74340 74753 76020 96111 106790 114030 128148 149506 160185 192222 213580 224259 228060 299012 320370 373765 384444 448518 480555 640740 672777 747530 897036 961110 1121295 1345554 1495060 1922220 2242590 2691108 3363885 4485180 6727770 13455540