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10098032 = 247293109
BaseRepresentation
bin100110100001…
…010101110000
3201000000220012
4212201111300
510041114112
61000234052
7151555220
oct46412560
921000805
1010098032
11577788a
12346b928
132127389
1414ac080
15d47022
hex9a1570

10098032 has 40 divisors (see below), whose sum is σ = 23138400. Its totient is φ = 4177152.

The previous prime is 10098007. The next prime is 10098059. The reversal of 10098032 is 23089001.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 10097989 and 10098007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1694 + ... + 4802.

It is an arithmetic number, because the mean of its divisors is an integer number (578460).

Almost surely, 210098032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10098032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11569200).

10098032 is an abundant number, since it is smaller than the sum of its proper divisors (13040368).

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

10098032 is a wasteful number, since it uses less digits than its factorization.

10098032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3147 counting only the distinct ones).

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

The square root of 10098032 is about 3177.7400774764. The cubic root of 10098032 is about 216.1451927333.

The spelling of 10098032 in words is "ten million, ninety-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3109 3248 6218 12436 21763 24872 43526 49744 87052 90161 174104 180322 348208 360644 631127 721288 1262254 1442576 2524508 5049016 10098032