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9901914 = 2311223593
BaseRepresentation
bin100101110001…
…011101011010
3200122001212120
4211301131122
510013330124
6552122110
7150110361
oct45613532
920561776
109901914
115653500
123396336
132089029
14145a7d8
15d08d79
hex97175a

9901914 has 48 divisors (see below), whose sum is σ = 22752576. Its totient is φ = 2865280.

The previous prime is 9901901. The next prime is 9901981. The reversal of 9901914 is 4191099.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 23 ways as a sum of consecutive naturals, for example, 16402 + ... + 16994.

It is an arithmetic number, because the mean of its divisors is an integer number (474012).

Almost surely, 29901914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9901914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376288).

9901914 is an abundant number, since it is smaller than the sum of its proper divisors (12850662).

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

9901914 is a wasteful number, since it uses less digits than its factorization.

9901914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 9901914 is about 3146.7306843770. The cubic root of 9901914 is about 214.7367537093.

The spelling of 9901914 in words is "nine million, nine hundred one thousand, nine hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 593 726 759 1186 1518 1779 2783 3558 5566 6523 8349 13046 13639 16698 19569 27278 39138 40917 71753 81834 143506 150029 215259 300058 430518 450087 900174 1650319 3300638 4950957 9901914