[go: up one dir, main page]

Search a number
-
+
270108000 = 2533534161
BaseRepresentation
bin10000000110011…
…000010101100000
3200211020220112000
4100012120111200
51023121424000
642445204000
76456610611
oct2006302540
9624226460
10270108000
11129518158
1276560600
1343c63026
1427c31c08
1518aa7000
hex10198560

270108000 has 384 divisors, whose sum is σ = 1023684480. Its totient is φ = 69120000.

The previous prime is 270107993. The next prime is 270108017. The reversal of 270108000 is 801072.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4427970 + ... + 4428030.

It is an arithmetic number, because the mean of its divisors is an integer number (2665845).

Almost surely, 2270108000 is an apocalyptic number.

270108000 is a gapful number since it is divisible by the number (20) 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 270108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240).

270108000 is an abundant number, since it is smaller than the sum of its proper divisors (753576480).

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

270108000 is a wasteful number, since it uses less digits than its factorization.

270108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 270108000 is about 16434.9627319322. The cubic root of 270108000 is about 646.4165729094.

Adding to 270108000 its reverse (801072), we get a palindrome (270909072).

It can be divided in two parts, 270 and 108000, that multiplied together give a square (29160000 = 54002).

The spelling of 270108000 in words is "two hundred seventy million, one hundred eight thousand".