Search a number
-
+
27275130 = 2345151223
BaseRepresentation
bin110100000001…
…0111101111010
31220022201110000
41220002331322
523440301010
62412333430
7450556221
oct150027572
956281400
1027275130
111443a233
129174276
13585c93c
14389dcb8
1525db7c0
hex1a02f7a

27275130 has 80 divisors (see below), whose sum is σ = 74156544. Its totient is φ = 7192800.

The previous prime is 27275119. The next prime is 27275137. The reversal of 27275130 is 3157272.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27275094 and 27275103.

It is not an unprimeable number, because it can be changed into a prime (27275137) 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 39 ways as a sum of consecutive naturals, for example, 122199 + ... + 122421.

Almost surely, 227275130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27275130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37078272).

27275130 is an abundant number, since it is smaller than the sum of its proper divisors (46881414).

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

27275130 is a wasteful number, since it uses less digits than its factorization.

27275130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 27275130 is about 5222.5597172268. The cubic root of 27275130 is about 301.0155582588.

The spelling of 27275130 in words is "twenty-seven million, two hundred seventy-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 151 162 223 270 302 405 446 453 669 755 810 906 1115 1338 1359 1510 2007 2230 2265 2718 3345 4014 4077 4530 6021 6690 6795 8154 10035 12042 12231 13590 18063 20070 20385 24462 30105 33673 36126 40770 60210 61155 67346 90315 101019 122310 168365 180630 202038 303057 336730 505095 606114 909171 1010190 1515285 1818342 2727513 3030570 4545855 5455026 9091710 13637565 27275130