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10028732 = 2272192693
BaseRepresentation
bin100110010000…
…011010111100
3200212111211112
4212100122330
510031404412
6554541152
7151146200
oct46203274
920774745
1010028732
11572a80a
1234377b8
13210197c
141490b00
15d31722
hex9906bc

10028732 has 36 divisors (see below), whose sum is σ = 21498120. Its totient is φ = 4070304.

The previous prime is 10028677. The next prime is 10028737. The reversal of 10028732 is 23782001.

It is a junction number, because it is equal to n+sod(n) for n = 10028698 and 10028707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10028737) 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, 2378 + ... + 5070.

It is an arithmetic number, because the mean of its divisors is an integer number (597170).

Almost surely, 210028732 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 10028732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10749060).

10028732 is an abundant number, since it is smaller than the sum of its proper divisors (11469388).

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

10028732 is a wasteful number, since it uses less digits than its factorization.

10028732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 10028732 is about 3166.8173297492. The cubic root of 10028732 is about 215.6496090935.

The spelling of 10028732 in words is "ten million, twenty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1862 2693 3724 5386 10772 18851 37702 51167 75404 102334 131957 204668 263914 358169 527828 716338 1432676 2507183 5014366 10028732