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10233828 = 22321143601
BaseRepresentation
bin100111000010…
…011111100100
3201020221011200
4213002133210
510104440303
61003202500
7152662143
oct47023744
921227150
1010233828
11585a910
123516430
132174127
14150575a
15d723a3
hex9c27e4

10233828 has 72 divisors (see below), whose sum is σ = 28924896. Its totient is φ = 3024000.

The previous prime is 10233809. The next prime is 10233829. The reversal of 10233828 is 82833201.

10233828 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16728 + ... + 17328.

Almost surely, 210233828 is an apocalyptic number.

10233828 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 10233828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14462448).

10233828 is an abundant number, since it is smaller than the sum of its proper divisors (18691068).

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

10233828 is a wasteful number, since it uses less digits than its factorization.

10233828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10233828 is about 3199.0354796407. The cubic root of 10233828 is about 217.1097719510.

It can be divided in two parts, 1023 and 3828, that added together give a triangular number (4851 = T98).

The spelling of 10233828 in words is "ten million, two hundred thirty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 601 774 946 1202 1419 1548 1803 1892 2404 2838 3606 4257 5409 5676 6611 7212 8514 10818 13222 17028 19833 21636 25843 26444 39666 51686 59499 77529 79332 103372 118998 155058 232587 237996 284273 310116 465174 568546 852819 930348 1137092 1705638 2558457 3411276 5116914 10233828