Search a number
-
+
27443430 = 232574127
BaseRepresentation
bin110100010110…
…0000011100110
31220122021022100
41220230003212
524011142210
62420112530
7452160000
oct150540346
956567270
1027443430
1114544723
129235746
1358bb421
143905370
1526215c0
hex1a2c0e6

27443430 has 120 divisors (see below), whose sum is σ = 83895552. Its totient is φ = 6223392.

The previous prime is 27443411. The next prime is 27443431. The reversal of 27443430 is 3434472.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27443394 and 27443403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27443431) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 216027 + ... + 216153.

Almost surely, 227443430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27443430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41947776).

27443430 is an abundant number, since it is smaller than the sum of its proper divisors (56452122).

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

27443430 is a wasteful number, since it uses less digits than its factorization.

27443430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 27443430 is about 5238.6477262744. The cubic root of 27443430 is about 301.6334236165.

The spelling of 27443430 in words is "twenty-seven million, four hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 127 147 210 245 254 294 315 343 381 441 490 630 635 686 735 762 882 889 1029 1143 1270 1470 1715 1778 1905 2058 2205 2286 2401 2667 3087 3430 3810 4410 4445 4802 5145 5334 5715 6174 6223 7203 8001 8890 10290 11430 12005 12446 13335 14406 15435 16002 18669 21609 24010 26670 30870 31115 36015 37338 40005 43218 43561 56007 62230 72030 80010 87122 93345 108045 112014 130683 186690 216090 217805 261366 280035 304927 392049 435610 560070 609854 653415 784098 914781 1306830 1524635 1829562 1960245 2744343 3049270 3920490 4573905 5488686 9147810 13721715 27443430