Search a number
-
+
2027508480 = 28325434093
BaseRepresentation
bin111100011011001…
…0101001100000000
312020022010002202200
41320312111030000
513123020232410
6533104313200
7101146352304
oct17066251400
95208102680
102027508480
11950526148
12487012800
1326408927a
141533b9d04
15bcee83c0
hex78d95300

2027508480 has 216 divisors, whose sum is σ = 7179860688. Its totient is φ = 527966208.

The previous prime is 2027508421. The next prime is 2027508493. The reversal of 2027508480 is 848057202.

It is a happy number.

It is a super-2 number, since 2×20275084802 = 8221581272943820800, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 493314 + ... + 497406.

Almost surely, 22027508480 is an apocalyptic number.

2027508480 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 2027508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589930344).

2027508480 is an abundant number, since it is smaller than the sum of its proper divisors (5152352208).

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

2027508480 is a wasteful number, since it uses less digits than its factorization.

2027508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2027508480 is about 45027.8633736934. The cubic root of 2027508480 is about 1265.6711858408.

The spelling of 2027508480 in words is "two billion, twenty-seven million, five hundred eight thousand, four hundred eighty".