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10094032 = 241323733
BaseRepresentation
bin100110100000…
…010111010000
3200222211102001
4212200113100
510041002112
61000203344
7151540444
oct46402720
920884361
1010094032
115774883
123469554
132125600
1414aa824
15d45c57
hex9a05d0

10094032 has 30 divisors (see below), whose sum is σ = 21182982. Its totient is φ = 4657536.

The previous prime is 10094017. The next prime is 10094047. The reversal of 10094032 is 23049001.

It is an interprime number because it is at equal distance from previous prime (10094017) and next prime (10094047).

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 10086976 = 84^2 + 3176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 838 + ... + 4570.

Almost surely, 210094032 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 10094032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10591491).

10094032 is an abundant number, since it is smaller than the sum of its proper divisors (11088950).

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

10094032 is a wasteful number, since it uses less digits than its factorization.

10094032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 10094032 is about 3177.1106370411. The cubic root of 10094032 is about 216.1166493843.

It can be divided in two parts, 1009 and 4032, that added together give a square (5041 = 712).

The spelling of 10094032 in words is "ten million, ninety-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 3733 7466 14932 29864 48529 59728 97058 194116 388232 630877 776464 1261754 2523508 5047016 10094032