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10098132 = 22311113677
BaseRepresentation
bin100110100001…
…010111010100
3201000001000220
4212201113110
510041120012
61000234340
7151555422
oct46412724
921001026
1010098132
115777970
12346b9b0
132127435
1414ac112
15d4708c
hex9a15d4

10098132 has 48 divisors (see below), whose sum is σ = 25970112. Its totient is φ = 3028480.

The previous prime is 10098131. The next prime is 10098149. The reversal of 10098132 is 23189001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10098131) 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 15 ways as a sum of consecutive naturals, for example, 14578 + ... + 15254.

It is an arithmetic number, because the mean of its divisors is an integer number (541044).

Almost surely, 210098132 is an apocalyptic number.

10098132 is a gapful number since it is divisible by the number (12) 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 10098132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12985056).

10098132 is an abundant number, since it is smaller than the sum of its proper divisors (15871980).

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

10098132 is a wasteful number, since it uses less digits than its factorization.

10098132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10098132 is about 3177.7558118899. The cubic root of 10098132 is about 216.1459062205.

The spelling of 10098132 in words is "ten million, ninety-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 677 678 1243 1354 1356 2031 2486 2708 3729 4062 4972 7447 7458 8124 14894 14916 22341 29788 44682 76501 89364 153002 229503 306004 459006 841511 918012 1683022 2524533 3366044 5049066 10098132