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9995120 = 2451031213
BaseRepresentation
bin100110001000…
…001101110000
3200210210201122
4212020031300
510024320440
6554121412
7150646202
oct46101560
920723648
109995120
115707533
123420268
1320bc595
141482772
15d267b5
hex988370

9995120 has 40 divisors (see below), whose sum is σ = 23483616. Its totient is φ = 3955968.

The previous prime is 9995119. The next prime is 9995129. The reversal of 9995120 is 215999.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9995129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7634 + ... + 8846.

Almost surely, 29995120 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 9995120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741808).

9995120 is an abundant number, since it is smaller than the sum of its proper divisors (13488496).

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

9995120 is a wasteful number, since it uses less digits than its factorization.

9995120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 35.

The square root of 9995120 is about 3161.5059702616. The cubic root of 9995120 is about 215.4084178300.

The spelling of 9995120 in words is "nine million, nine hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1213 1648 2060 2426 4120 4852 6065 8240 9704 12130 19408 24260 48520 97040 124939 249878 499756 624695 999512 1249390 1999024 2498780 4997560 9995120