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20232828 = 2234711811
BaseRepresentation
bin100110100101…
…1101001111100
31102001221020000
41031023221330
520134422303
62001354300
7333655560
oct115135174
942057200
1020232828
111046a250
126938990
1342653b5
1429896a0
151b99da3
hex134ba7c

20232828 has 120 divisors (see below), whose sum is σ = 66025344. Its totient is φ = 5248800.

The previous prime is 20232787. The next prime is 20232841. The reversal of 20232828 is 82823202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24543 + ... + 25353.

Almost surely, 220232828 is an apocalyptic number.

20232828 is a gapful number since it is divisible by the number (28) 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 20232828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33012672).

20232828 is an abundant number, since it is smaller than the sum of its proper divisors (45792516).

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

20232828 is a wasteful number, since it uses less digits than its factorization.

20232828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20232828 is about 4498.0915953324. The cubic root of 20232828 is about 272.4910212231.

It can be divided in two parts, 2023 and 2828, that added together give a triangular number (4851 = T98).

The spelling of 20232828 in words is "twenty million, two hundred thirty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 811 891 924 1134 1188 1386 1622 1782 2079 2268 2433 2772 3244 3564 4158 4866 5677 6237 7299 8316 8921 9732 11354 12474 14598 17031 17842 21897 22708 24948 26763 29196 34062 35684 43794 51093 53526 62447 65691 68124 80289 87588 102186 107052 124894 131382 153279 160578 187341 204372 240867 249788 262764 306558 321156 374682 459837 481734 562023 613116 722601 749364 919674 963468 1124046 1445202 1686069 1839348 2248092 2890404 3372138 5058207 6744276 10116414 20232828