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9930060 = 2233573771
BaseRepresentation
bin100101111000…
…010101001100
3200200111111000
4211320111030
510020230220
6552500300
7150255420
oct45702514
920614430
109930060
115672668
1233aa690
132098a9a
141466b80
15d12390
hex97854c

9930060 has 192 divisors, whose sum is σ = 36771840. Its totient is φ = 2177280.

The previous prime is 9930049. The next prime is 9930061. The reversal of 9930060 is 600399.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9930061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139825 + ... + 139895.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 29930060 is an apocalyptic number.

9930060 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 9930060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

9930060 is an abundant number, since it is smaller than the sum of its proper divisors (26841780).

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

9930060 is a wasteful number, since it uses less digits than its factorization.

9930060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 9930060 is about 3151.1997715156. The cubic root of 9930060 is about 214.9400229312.

The spelling of 9930060 in words is "nine million, nine hundred thirty thousand, sixty".