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23080000 = 2654577
BaseRepresentation
bin101100000001…
…0110001000000
31121102120210211
41120002301000
521402030000
62142403504
7400114426
oct130026100
947376724
1023080000
1112034389
127890594
134a21308
1430cb116
15205d7ba
hex1602c40

23080000 has 70 divisors (see below), whose sum is σ = 57330086. Its totient is φ = 9216000.

The previous prime is 23079989. The next prime is 23080037. The reversal of 23080000 is 8032.

It can be written as a sum of positive squares in 5 ways, for example, as 2359296 + 20720704 = 1536^2 + 4552^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39712 + ... + 40288.

Almost surely, 223080000 is an apocalyptic number.

23080000 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 23080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28665043).

23080000 is an abundant number, since it is smaller than the sum of its proper divisors (34250086).

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

23080000 is an frugal number, since it uses more digits than its factorization.

23080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 23080000 is about 4804.1648597857. The cubic root of 23080000 is about 284.7160401416.

Adding to 23080000 its reverse (8032), we get a palindrome (23088032).

The spelling of 23080000 in words is "twenty-three million, eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 577 625 800 1000 1154 1250 1600 2000 2308 2500 2885 4000 4616 5000 5770 8000 9232 10000 11540 14425 18464 20000 23080 28850 36928 40000 46160 57700 72125 92320 115400 144250 184640 230800 288500 360625 461600 577000 721250 923200 1154000 1442500 2308000 2885000 4616000 5770000 11540000 23080000