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9993060 = 223257211103
BaseRepresentation
bin100110000111…
…101101100100
3200210200220100
4212013231210
510024234220
6554104100
7150640200
oct46075544
920720810
109993060
115705a30
12341b030
1320bb66c
141481b00
15d25d90
hex987b64

9993060 has 216 divisors, whose sum is σ = 38840256. Its totient is φ = 2056320.

The previous prime is 9993047. The next prime is 9993079. The reversal of 9993060 is 603999.

9993060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×99930603 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96969 + ... + 97071.

It is an arithmetic number, because the mean of its divisors is an integer number (179816).

Almost surely, 29993060 is an apocalyptic number.

9993060 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 9993060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19420128).

9993060 is an abundant number, since it is smaller than the sum of its proper divisors (28847196).

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

9993060 is a wasteful number, since it uses less digits than its factorization.

9993060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 9993060 is about 3161.1801593709. The cubic root of 9993060 is about 215.3936182134.

The spelling of 9993060 in words is "nine million, nine hundred ninety-three thousand, sixty".