Search a number
-
+
8820000 = 25325472
BaseRepresentation
bin100001101001…
…010100100000
3121121002202200
4201221110200
54224220000
6513013200
7134653200
oct41512440
917532680
108820000
114a84662
122b54200
131a9a747
141258400
15b93500
hex869520

8820000 has 270 divisors, whose sum is σ = 36459423. Its totient is φ = 2016000.

The previous prime is 8819999. The next prime is 8820001. The reversal of 8820000 is 288.

Multipling 8820000 by its sum of digits (18), we get a square (158760000 = 126002).

8820000 divided by its sum of digits (18) gives a square (490000 = 7002).

Multipling 8820000 by its product of nonzero digits (128), we get a square (1128960000 = 336002).

Adding to 8820000 its reverse (288), we get a palindrome (8820288).

Multipling 8820000 by its reverse (288), we get a square (2540160000 = 504002).

8820000 divided by its reverse (288) gives a square (30625 = 1752).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (8819999) and next prime (8820001).

It can be written as a sum of positive squares in 3 ways, for example, as 2039184 + 6780816 = 1428^2 + 2604^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2100.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (8820001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1259997 + ... + 1260003.

Almost surely, 28820000 is an apocalyptic number.

8820000 is a gapful number since it is divisible by the number (80) 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 8820000

8820000 is an abundant number, since it is smaller than the sum of its proper divisors (27639423).

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

8820000 is a wasteful number, since it uses less digits than its factorization.

8820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8820000 is about 2969.8484809835. The cubic root of 8820000 is about 206.6123108293.

The spelling of 8820000 in words is "eight million, eight hundred twenty thousand".