Search a number
-
+
270298080 = 25335134813
BaseRepresentation
bin10000000111000…
…110101111100000
3200211121120021000
4100013012233200
51023144014310
642453232000
76461332023
oct2007065740
9624546230
10270298080
11129637a48
1276632600
1343ccb6c0
1427c811ba
1518ae34c0
hex101c6be0

270298080 has 192 divisors, whose sum is σ = 1019027520. Its totient is φ = 66521088.

The previous prime is 270298051. The next prime is 270298087. The reversal of 270298080 is 80892072.

It is a super-2 number, since 2×2702980802 = 146122104103372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270298087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53754 + ... + 58566.

It is an arithmetic number, because the mean of its divisors is an integer number (5307435).

Almost surely, 2270298080 is an apocalyptic number.

270298080 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 270298080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509513760).

270298080 is an abundant number, since it is smaller than the sum of its proper divisors (748729440).

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

270298080 is a wasteful number, since it uses less digits than its factorization.

270298080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 270298080 is about 16440.7445086894. The cubic root of 270298080 is about 646.5681691243.

The spelling of 270298080 in words is "two hundred seventy million, two hundred ninety-eight thousand, eighty".