Search a number
-
+
27450060 = 223511219199
BaseRepresentation
bin110100010110…
…1101011001100
31220122121101220
41220231223030
524011400220
62420203340
7452215221
oct150555314
956577356
1027450060
1114549700
129239550
1358c1451
143907948
152623540
hex1a2dacc

27450060 has 144 divisors (see below), whose sum is σ = 89376000. Its totient is φ = 6272640.

The previous prime is 27450029. The next prime is 27450077. The reversal of 27450060 is 6005472.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 27450060.

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 47 ways as a sum of consecutive naturals, for example, 137841 + ... + 138039.

Almost surely, 227450060 is an apocalyptic number.

27450060 is a gapful number since it is divisible by the number (20) 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 27450060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44688000).

27450060 is an abundant number, since it is smaller than the sum of its proper divisors (61925940).

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

27450060 is a wasteful number, since it uses less digits than its factorization.

27450060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 27450060 is about 5239.2804849521. The cubic root of 27450060 is about 301.6577119869.

The spelling of 27450060 in words is "twenty-seven million, four hundred fifty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 121 132 165 190 199 209 220 228 242 285 330 363 380 398 418 484 570 597 605 627 660 726 796 836 995 1045 1140 1194 1210 1254 1452 1815 1990 2090 2189 2299 2388 2420 2508 2985 3135 3630 3781 3980 4180 4378 4598 5970 6270 6567 6897 7260 7562 8756 9196 10945 11343 11495 11940 12540 13134 13794 15124 18905 21890 22686 22990 24079 26268 27588 32835 34485 37810 41591 43780 45372 45980 48158 56715 65670 68970 72237 75620 83182 96316 113430 120395 124773 131340 137940 144474 166364 207955 226860 240790 249546 288948 361185 415910 457501 481580 499092 623865 722370 831820 915002 1247730 1372503 1444740 1830004 2287505 2495460 2745006 4575010 5490012 6862515 9150020 13725030 27450060