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9960012 = 2232232523
BaseRepresentation
bin100101111111…
…101001001100
3200202000120100
4211333221030
510022210022
6553251100
7150441636
oct45775114
920660510
109960012
115693117
123403a90
1320a95ca
141473a56
15d1b1ac
hex97fa4c

9960012 has 54 divisors (see below), whose sum is σ = 26369252. Its totient is φ = 3169584.

The previous prime is 9959987. The next prime is 9960023. The reversal of 9960012 is 2100699.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18783 + ... + 19305.

Almost surely, 29960012 is an apocalyptic number.

9960012 is a gapful number since it is divisible by the number (92) 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 9960012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13184626).

9960012 is an abundant number, since it is smaller than the sum of its proper divisors (16409240).

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

9960012 is a wasteful number, since it uses less digits than its factorization.

9960012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9960012 is about 3155.9486687841. The cubic root of 9960012 is about 215.1559135884.

The spelling of 9960012 in words is "nine million, nine hundred sixty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 523 529 828 1046 1058 1569 1587 2092 2116 3138 3174 4707 4761 6276 6348 9414 9522 12029 18828 19044 24058 36087 48116 72174 108261 144348 216522 276667 433044 553334 830001 1106668 1660002 2490003 3320004 4980006 9960012