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20802432 = 273771109
BaseRepresentation
bin100111101011…
…0101110000000
31110010212120110
41033112232000
520311134212
62021511320
7341550330
oct117265600
943125513
1020802432
11108191a2
126b72540
134404741
142a970c0
151c5da3c
hex13d6b80

20802432 has 128 divisors (see below), whose sum is σ = 64627200. Its totient is φ = 5806080.

The previous prime is 20802427. The next prime is 20802437. The reversal of 20802432 is 23420802.

It is an interprime number because it is at equal distance from previous prime (20802427) and next prime (20802437).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×208024322 = 865482354229248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20802399 and 20802408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20802437) 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, 190794 + ... + 190902.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 220802432 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 20802432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32313600).

20802432 is an abundant number, since it is smaller than the sum of its proper divisors (43824768).

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

20802432 is a wasteful number, since it uses less digits than its factorization.

20802432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 20802432 is about 4560.9683182412. The cubic root of 20802432 is about 275.0244914826.

The spelling of 20802432 in words is "twenty million, eight hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 109 112 128 142 168 192 213 218 224 284 327 336 384 426 436 448 497 568 654 672 763 852 872 896 994 1136 1308 1344 1491 1526 1704 1744 1988 2272 2289 2616 2688 2982 3052 3408 3488 3976 4544 4578 5232 5964 6104 6816 6976 7739 7952 9088 9156 10464 11928 12208 13632 13952 15478 15904 18312 20928 23217 23856 24416 27264 30956 31808 36624 41856 46434 47712 48832 54173 61912 63616 73248 92868 95424 97664 108346 123824 146496 162519 185736 190848 216692 247648 292992 325038 371472 433384 495296 650076 742944 866768 990592 1300152 1485888 1733536 2600304 2971776 3467072 5200608 6934144 10401216 20802432