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9946660 = 2253161263
BaseRepresentation
bin100101111100…
…011000100100
3200201100020211
4211330120210
510021243120
6553105204
7150355003
oct45743044
920640224
109946660
115684089
1233b8204
1320a34c9
14146cc3a
15d1725a
hex97c624

9946660 has 48 divisors (see below), whose sum is σ = 21998592. Its totient is φ = 3772800.

The previous prime is 9946639. The next prime is 9946661. The reversal of 9946660 is 666499.

It is not an unprimeable number, because it can be changed into a prime (9946661) 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 15 ways as a sum of consecutive naturals, for example, 37689 + ... + 37951.

It is an arithmetic number, because the mean of its divisors is an integer number (458304).

Almost surely, 29946660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9946660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999296).

9946660 is an abundant number, since it is smaller than the sum of its proper divisors (12051932).

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

9946660 is a wasteful number, since it uses less digits than its factorization.

9946660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 9946660 is about 3153.8325890890. The cubic root of 9946660 is about 215.0597274118.

The spelling of 9946660 in words is "nine million, nine hundred forty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 61 62 122 124 155 244 263 305 310 526 610 620 1052 1220 1315 1891 2630 3782 5260 7564 8153 9455 16043 16306 18910 32086 32612 37820 40765 64172 80215 81530 160430 163060 320860 497333 994666 1989332 2486665 4973330 9946660