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10296828 = 2233671423
BaseRepresentation
bin100111010001…
…110111111100
3201101010121000
4213101313330
510113444303
61004410300
7153343623
oct47216774
921333530
1010296828
1158a3183
123546990
1321969c9
1415206ba
15d85da3
hex9d1dfc

10296828 has 48 divisors (see below), whose sum is σ = 27112960. Its totient is φ = 3378672.

The previous prime is 10296821. The next prime is 10296829. The reversal of 10296828 is 82869201.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10296792 and 10296801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10296821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6525 + ... + 7947.

Almost surely, 210296828 is an apocalyptic number.

10296828 is a gapful number since it is divisible by the number (18) 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 10296828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13556480).

10296828 is an abundant number, since it is smaller than the sum of its proper divisors (16816132).

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

10296828 is a wasteful number, since it uses less digits than its factorization.

10296828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10296828 is about 3208.8670897998. The cubic root of 10296828 is about 217.5543740394.

The spelling of 10296828 in words is "ten million, two hundred ninety-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1423 1809 2412 2846 3618 4269 5692 7236 8538 12807 17076 25614 38421 51228 76842 95341 153684 190682 286023 381364 572046 858069 1144092 1716138 2574207 3432276 5148414 10296828