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20843088 = 2437174189
BaseRepresentation
bin100111110000…
…0101001010000
31110012221100020
41033200221100
520313434323
62022423440
7342110010
oct117405120
943187306
1020843088
11108467a2
126b91b80
13441a0b6
142aa7c40
151c6aae3
hex13e0a50

20843088 has 160 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 5406720.

The previous prime is 20843087. The next prime is 20843093. The reversal of 20843088 is 88034802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20843087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234148 + ... + 234236.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 220843088 is an apocalyptic number.

20843088 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 20843088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

20843088 is an abundant number, since it is smaller than the sum of its proper divisors (46652592).

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

20843088 is a wasteful number, since it uses less digits than its factorization.

20843088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 20843088 is about 4565.4230910180. The cubic root of 20843088 is about 275.2035429731.

The spelling of 20843088 in words is "twenty million, eight hundred forty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 41 42 48 51 56 68 82 84 89 102 112 119 123 136 164 168 178 204 238 246 267 272 287 328 336 356 357 408 476 492 534 574 623 656 697 712 714 816 861 952 984 1068 1148 1246 1394 1424 1428 1513 1722 1869 1904 1968 2091 2136 2296 2492 2788 2856 3026 3444 3649 3738 4182 4272 4539 4592 4879 4984 5576 5712 6052 6888 7298 7476 8364 9078 9758 9968 10591 10947 11152 12104 13776 14596 14637 14952 16728 18156 19516 21182 21894 24208 25543 29192 29274 29904 31773 33456 36312 39032 42364 43788 51086 58384 58548 62033 63546 72624 76629 78064 84728 87576 102172 117096 124066 127092 153258 169456 175152 186099 204344 234192 248132 254184 306516 372198 408688 434231 496264 508368 613032 744396 868462 992528 1226064 1302693 1488792 1736924 2605386 2977584 3473848 5210772 6947696 10421544 20843088