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9905070 = 2357101467
BaseRepresentation
bin100101110010…
…001110101110
3200122020012110
4211302032232
510013430240
6552144450
7150122520
oct45621656
920566173
109905070
11565590a
123398126
13208a5b6
14145ba10
15d09c80
hex9723ae

9905070 has 64 divisors (see below), whose sum is σ = 27495936. Its totient is φ = 2236800.

The previous prime is 9905059. The next prime is 9905087. The reversal of 9905070 is 705099.

It is a happy number.

It is a super-2 number, since 2×99050702 = 196220823409800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20977 + ... + 21443.

It is an arithmetic number, because the mean of its divisors is an integer number (429624).

Almost surely, 29905070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9905070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13747968).

9905070 is an abundant number, since it is smaller than the sum of its proper divisors (17590866).

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

9905070 is a wasteful number, since it uses less digits than its factorization.

9905070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 9905070 is about 3147.2321172738. The cubic root of 9905070 is about 214.7595653666.

The spelling of 9905070 in words is "nine million, nine hundred five thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 101 105 202 210 303 467 505 606 707 934 1010 1401 1414 1515 2121 2335 2802 3030 3269 3535 4242 4670 6538 7005 7070 9807 10605 14010 16345 19614 21210 32690 47167 49035 94334 98070 141501 235835 283002 330169 471670 660338 707505 990507 1415010 1650845 1981014 3301690 4952535 9905070