Search a number
-
+
27002052 = 223371117191
BaseRepresentation
bin110011100000…
…0010011000100
31212210211212000
41213000103010
523403031202
62402425300
7445341120
oct147002304
955724760
1027002052
1114273050
129062230
13579555c
14382c580
15258591c
hex19c04c4

27002052 has 192 divisors, whose sum is σ = 92897280. Its totient is φ = 6566400.

The previous prime is 27002033. The next prime is 27002057. The reversal of 27002052 is 25020072.

It is a happy number.

It is a super-2 number, since 2×270020522 = 1458221624421408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (27002057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141277 + ... + 141467.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 227002052 is an apocalyptic number.

27002052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27002052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46448640).

27002052 is an abundant number, since it is smaller than the sum of its proper divisors (65895228).

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

27002052 is a wasteful number, since it uses less digits than its factorization.

27002052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 27002052 is about 5196.3498727472. The cubic root of 27002052 is about 300.0075998075.

It can be divided in two parts, 270020 and 52, that added together give a palindrome (270072).

The spelling of 27002052 in words is "twenty-seven million, two thousand, fifty-two".