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27071730 = 2325797443
BaseRepresentation
bin110011101000…
…1010011110010
31212221101102200
41213101103302
523412243410
62404124030
7446051220
oct147212362
955841380
1027071730
1114310434
129096616
1357bb19a
143849b10
15259b3c0
hex19d14f2

27071730 has 96 divisors (see below), whose sum is σ = 81454464. Its totient is φ = 6110208.

The previous prime is 27071719. The next prime is 27071731. The reversal of 27071730 is 3717072.

It is a junction number, because it is equal to n+sod(n) for n = 27071694 and 27071703.

It is not an unprimeable number, because it can be changed into a prime (27071731) by changing a digit.

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, 60889 + ... + 61331.

It is an arithmetic number, because the mean of its divisors is an integer number (848484).

Almost surely, 227071730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27071730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40727232).

27071730 is an abundant number, since it is smaller than the sum of its proper divisors (54382734).

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

27071730 is a wasteful number, since it uses less digits than its factorization.

27071730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 27071730 is about 5203.0500670280. The cubic root of 27071730 is about 300.2654317507.

The spelling of 27071730 in words is "twenty-seven million, seventy-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 97 105 126 194 210 291 315 443 485 582 630 679 873 886 970 1329 1358 1455 1746 2037 2215 2658 2910 3101 3395 3987 4074 4365 4430 6111 6202 6645 6790 7974 8730 9303 10185 12222 13290 15505 18606 19935 20370 27909 30555 31010 39870 42971 46515 55818 61110 85942 93030 128913 139545 214855 257826 279090 300797 386739 429710 601594 644565 773478 902391 1289130 1503985 1804782 1933695 2707173 3007970 3867390 4511955 5414346 9023910 13535865 27071730