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9720000 = 263554
BaseRepresentation
bin100101000101…
…000011000000
3200021211100000
4211011003000
54442020000
6544200000
7145422123
oct45050300
920254300
109720000
115539864
123309000
1320242a4
1414103ba
15cc0000
hex9450c0

9720000 has 210 divisors, whose sum is σ = 36104068. Its totient is φ = 2592000.

The previous prime is 9719989. The next prime is 9720031. The reversal of 9720000 is 279.

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

It is an Ulam number.

It is a nialpdrome in base 6, base 10 and base 15.

It is a zygodrome in base 15.

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 29 ways as a sum of consecutive naturals, for example, 1943998 + ... + 1944002.

Almost surely, 29720000 is an apocalyptic number.

9720000 is a gapful number since it is divisible by the number (90) 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 9720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18052034).

9720000 is an abundant number, since it is smaller than the sum of its proper divisors (26384068).

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

9720000 is an frugal number, since it uses more digits than its factorization.

9720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 9720000 is about 3117.6914536240. The cubic root of 9720000 is about 213.4135982694.

Adding to 9720000 its reverse (279), we get a palindrome (9720279).

The spelling of 9720000 in words is "nine million, seven hundred twenty thousand".