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9980946 = 232312577
BaseRepresentation
bin100110000100…
…110000010010
3200210002021200
4212010300102
510023342241
6553532030
7150556653
oct46046022
920702250
109980946
1156a7918
123414016
1320b5cb1
14147b52a
15d224b6
hex984c12

9980946 has 36 divisors (see below), whose sum is σ = 22384206. Its totient is φ = 3214080.

The previous prime is 9980941. The next prime is 9980969. The reversal of 9980946 is 6490899.

It can be written as a sum of positive squares in only one way, i.e., 5405625 + 4575321 = 2325^2 + 2139^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9980941) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17010 + ... + 17586.

Almost surely, 29980946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9980946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11192103).

9980946 is an abundant number, since it is smaller than the sum of its proper divisors (12403260).

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

9980946 is a wasteful number, since it uses less digits than its factorization.

9980946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9980946 is about 3159.2635217721. The cubic root of 9980946 is about 215.3065466738.

The spelling of 9980946 in words is "nine million, nine hundred eighty thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 577 961 1154 1731 1922 2883 3462 5193 5766 8649 10386 17298 17887 35774 53661 107322 160983 321966 554497 1108994 1663491 3326982 4990473 9980946