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20798232 = 23371389107
BaseRepresentation
bin100111101010…
…1101100011000
31110010122210220
41033111230120
520311020412
62021440040
7341532150
oct117255430
943118726
1020798232
1110816024
126b70020
134402860
142a95760
151c5c68c
hex13d5b18

20798232 has 128 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 5372928.

The previous prime is 20798231. The next prime is 20798263. The reversal of 20798232 is 23289702.

It is a junction number, because it is equal to n+sod(n) for n = 20798193 and 20798202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20798231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194323 + ... + 194429.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 220798232 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 20798232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

20798232 is an abundant number, since it is smaller than the sum of its proper divisors (44520168).

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

20798232 is a wasteful number, since it uses less digits than its factorization.

20798232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 20798232 is about 4560.5078664552. The cubic root of 20798232 is about 275.0059811371.

The spelling of 20798232 in words is "twenty million, seven hundred ninety-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 89 91 104 107 156 168 178 182 214 267 273 312 321 356 364 428 534 546 623 642 712 728 749 856 1068 1092 1157 1246 1284 1391 1498 1869 2136 2184 2247 2314 2492 2568 2782 2996 3471 3738 4173 4494 4628 4984 5564 5992 6942 7476 8099 8346 8988 9256 9523 9737 11128 13884 14952 16198 16692 17976 19046 19474 24297 27768 28569 29211 32396 33384 38092 38948 48594 57138 58422 64792 66661 76184 77896 97188 114276 116844 123799 133322 194376 199983 228552 233688 247598 266644 371397 399966 495196 533288 742794 799932 866593 990392 1485588 1599864 1733186 2599779 2971176 3466372 5199558 6932744 10399116 20798232