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10098640 = 245126233
BaseRepresentation
bin100110100001…
…011111010000
3201000001201201
4212201133100
510041124030
61000240544
7151560046
oct46413720
921001651
1010098640
115778292
123470154
132127736
1414ac396
15d472ca
hex9a17d0

10098640 has 20 divisors (see below), whose sum is σ = 23479524. Its totient is φ = 4039424.

The previous prime is 10098637. The next prime is 10098661. The reversal of 10098640 is 4689001.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 6130576 = 1992^2 + 2476^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 10098599 and 10098608.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 63037 + ... + 63196.

Almost surely, 210098640 is an apocalyptic number.

10098640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10098640 is an abundant number, since it is smaller than the sum of its proper divisors (13380884).

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

10098640 is a wasteful number, since it uses less digits than its factorization.

10098640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126246 (or 126240 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 10098640 is about 3177.8357415071. The cubic root of 10098640 is about 216.1495306624.

The spelling of 10098640 in words is "ten million, ninety-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 126233 252466 504932 631165 1009864 1262330 2019728 2524660 5049320 10098640