Search a number
-
+
27133506 = 23237131311
BaseRepresentation
bin110011110000…
…0011001000010
31220001112011200
41213200121002
523421233011
62405322030
7446426301
oct147403102
956045150
1027133506
1114352894
129106316
13581033a
143864438
1525ae856
hex19e0642

27133506 has 48 divisors (see below), whose sum is σ = 61034688. Its totient is φ = 8704800.

The previous prime is 27133499. The next prime is 27133517. The reversal of 27133506 is 60533172.

It is a happy number.

27133506 is a `hidden beast` number, since 27 + 133 + 506 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27133506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87091 + ... + 87401.

It is an arithmetic number, because the mean of its divisors is an integer number (1271556).

Almost surely, 227133506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27133506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30517344).

27133506 is an abundant number, since it is smaller than the sum of its proper divisors (33901182).

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

27133506 is a wasteful number, since it uses less digits than its factorization.

27133506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 27133506 is about 5208.9832021230. The cubic root of 27133506 is about 300.4936539072.

Adding to 27133506 its reverse (60533172), we get a palindrome (87666678).

The spelling of 27133506 in words is "twenty-seven million, one hundred thirty-three thousand, five hundred six".

Divisors: 1 2 3 6 9 18 37 74 111 131 222 262 311 333 393 622 666 786 933 1179 1866 2358 2799 4847 5598 9694 11507 14541 23014 29082 34521 40741 43623 69042 81482 87246 103563 122223 207126 244446 366669 733338 1507417 3014834 4522251 9044502 13566753 27133506