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10398020 = 225312541
BaseRepresentation
bin100111101010…
…100101000100
3201120021101212
4213222211010
510130214040
61010510552
7154244633
oct47524504
921507355
1010398020
115962206
123595458
132200a99
14154951a
15da5d65
hex9ea944

10398020 has 36 divisors (see below), whose sum is σ = 22604652. Its totient is φ = 4017600.

The previous prime is 10398019. The next prime is 10398023. The reversal of 10398020 is 2089301.

It can be written as a sum of positive squares in 2 ways, for example, as 3936256 + 6461764 = 1984^2 + 2542^2 .

It is not an unprimeable number, because it can be changed into a prime (10398023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18950 + ... + 19490.

It is an arithmetic number, because the mean of its divisors is an integer number (627907).

Almost surely, 210398020 is an apocalyptic number.

10398020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10398020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11302326).

10398020 is an abundant number, since it is smaller than the sum of its proper divisors (12206632).

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

10398020 is a wasteful number, since it uses less digits than its factorization.

10398020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10398020 is about 3224.5960987386. The cubic root of 10398020 is about 218.2647234388.

The spelling of 10398020 in words is "ten million, three hundred ninety-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 541 620 961 1082 1922 2164 2705 3844 4805 5410 9610 10820 16771 19220 33542 67084 83855 167710 335420 519901 1039802 2079604 2599505 5199010 10398020