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9960090 = 2357431103
BaseRepresentation
bin100101111111…
…101010011010
3200202000200020
4211333222122
510022210330
6553251310
7150442110
oct45775232
920660606
109960090
115693188
123403b36
1320a965a
141473ab0
15d1b210
hex97fa9a

9960090 has 64 divisors (see below), whose sum is σ = 27979776. Its totient is φ = 2221632.

The previous prime is 9960059. The next prime is 9960091. The reversal of 9960090 is 900699.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9960091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8479 + ... + 9581.

It is an arithmetic number, because the mean of its divisors is an integer number (437184).

Almost surely, 29960090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9960090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13989888).

9960090 is an abundant number, since it is smaller than the sum of its proper divisors (18019686).

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

9960090 is a wasteful number, since it uses less digits than its factorization.

9960090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163.

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 9960090 is about 3155.9610263753. The cubic root of 9960090 is about 215.1564752383.

The spelling of 9960090 in words is "nine million, nine hundred sixty thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 602 645 903 1103 1290 1505 1806 2206 3010 3309 4515 5515 6618 7721 9030 11030 15442 16545 23163 33090 38605 46326 47429 77210 94858 115815 142287 231630 237145 284574 332003 474290 664006 711435 996009 1422870 1660015 1992018 3320030 4980045 9960090