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13857180 = 22354143131
BaseRepresentation
bin110100110111…
…000110011100
3222002000110220
4310313012130
512021412210
61213001340
7225532641
oct64670634
928060426
1013857180
117905117
124783250
132b4241c
141ba9dc8
15133ac70
hexd3719c

13857180 has 96 divisors (see below), whose sum is σ = 40981248. Its totient is φ = 3494400.

The previous prime is 13857167. The next prime is 13857197. The reversal of 13857180 is 8175831.

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, 105715 + ... + 105845.

It is an arithmetic number, because the mean of its divisors is an integer number (426888).

Almost surely, 213857180 is an apocalyptic number.

13857180 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 13857180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490624).

13857180 is an abundant number, since it is smaller than the sum of its proper divisors (27124068).

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

13857180 is a wasteful number, since it uses less digits than its factorization.

13857180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 13857180 is about 3722.5233377375. The cubic root of 13857180 is about 240.1918604712.

The spelling of 13857180 in words is "thirteen million, eight hundred fifty-seven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 43 60 82 86 123 129 131 164 172 205 215 246 258 262 393 410 430 492 516 524 615 645 655 786 820 860 1230 1290 1310 1572 1763 1965 2460 2580 2620 3526 3930 5289 5371 5633 7052 7860 8815 10578 10742 11266 16113 16899 17630 21156 21484 22532 26445 26855 28165 32226 33798 35260 52890 53710 56330 64452 67596 80565 84495 105780 107420 112660 161130 168990 230953 322260 337980 461906 692859 923812 1154765 1385718 2309530 2771436 3464295 4619060 6928590 13857180