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14085540 = 22325721597
BaseRepresentation
bin110101101110…
…110110100100
3222111121201200
4311232312210
512101214130
61221522500
7230503500
oct65566644
928447650
1014085540
117a50747
124873430
132bc2351
141c29300
151383760
hexd6eda4

14085540 has 108 divisors (see below), whose sum is σ = 49732956. Its totient is φ = 3217536.

The previous prime is 14085527. The next prime is 14085541. The reversal of 14085540 is 4558041.

14085540 is a `hidden beast` number, since 1 + 40 + 85 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3896676 + 10188864 = 1974^2 + 3192^2 .

It is not an unprimeable number, because it can be changed into a prime (14085541) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8022 + ... + 9618.

Almost surely, 214085540 is an apocalyptic number.

14085540 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 14085540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24866478).

14085540 is an abundant number, since it is smaller than the sum of its proper divisors (35647416).

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

14085540 is a wasteful number, since it uses less digits than its factorization.

14085540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 14085540 is about 3753.0707427385. The cubic root of 14085540 is about 241.5040957087.

The spelling of 14085540 in words is "fourteen million, eighty-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 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1597 1764 2205 2940 3194 4410 4791 6388 7985 8820 9582 11179 14373 15970 19164 22358 23955 28746 31940 33537 44716 47910 55895 57492 67074 71865 78253 95820 100611 111790 134148 143730 156506 167685 201222 223580 234759 287460 313012 335370 391265 402444 469518 503055 670740 704277 782530 939036 1006110 1173795 1408554 1565060 2012220 2347590 2817108 3521385 4695180 7042770 14085540