Search a number
-
+
27066546 = 232131031123
BaseRepresentation
bin110011101000…
…0000010110010
31212221010022200
41213100002302
523412112141
62404044030
7446030133
oct147200262
955833280
1027066546
1114307551
129093616
1357b8a10
143847c8a
152599ab6
hex19d00b2

27066546 has 48 divisors (see below), whose sum is σ = 63825216. Its totient is φ = 8239968.

The previous prime is 27066527. The next prime is 27066547. The reversal of 27066546 is 64566072.

It is a self number, because there is not a number n which added to its sum of digits gives 27066546.

It is not an unprimeable number, because it can be changed into a prime (27066547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23541 + ... + 24663.

It is an arithmetic number, because the mean of its divisors is an integer number (1329692).

Almost surely, 227066546 is an apocalyptic number.

27066546 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27066546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31912608).

27066546 is an abundant number, since it is smaller than the sum of its proper divisors (36758670).

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

27066546 is a wasteful number, since it uses less digits than its factorization.

27066546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 27066546 is about 5202.5518738404. The cubic root of 27066546 is about 300.2462644574.

The spelling of 27066546 in words is "twenty-seven million, sixty-six thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 103 117 206 234 309 618 927 1123 1339 1854 2246 2678 3369 4017 6738 8034 10107 12051 14599 20214 24102 29198 43797 87594 115669 131391 231338 262782 347007 694014 1041021 1503697 2082042 3007394 4511091 9022182 13533273 27066546