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20840832 = 273279229
BaseRepresentation
bin100111110000…
…0000110000000
31110012211020200
41033200012000
520313401312
62022405200
7342100305
oct117400600
943184220
1020840832
1110845031
126b90800
13441906c
142aa70ac
151c6a0dc
hex13e0180

20840832 has 96 divisors (see below), whose sum is σ = 60996000. Its totient is φ = 6829056.

The previous prime is 20840789. The next prime is 20840837. The reversal of 20840832 is 23804802.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20840796 and 20840805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20840837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90894 + ... + 91122.

It is an arithmetic number, because the mean of its divisors is an integer number (635375).

Almost surely, 220840832 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 20840832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30498000).

20840832 is an abundant number, since it is smaller than the sum of its proper divisors (40155168).

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

20840832 is a wasteful number, since it uses less digits than its factorization.

20840832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

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

The square root of 20840832 is about 4565.1760097503. The cubic root of 20840832 is about 275.1936135168.

The spelling of 20840832 in words is "twenty million, eight hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 229 237 288 316 384 458 474 576 632 687 711 916 948 1152 1264 1374 1422 1832 1896 2061 2528 2748 2844 3664 3792 4122 5056 5496 5688 7328 7584 8244 10112 10992 11376 14656 15168 16488 18091 21984 22752 29312 30336 32976 36182 43968 45504 54273 65952 72364 87936 91008 108546 131904 144728 162819 217092 263808 289456 325638 434184 578912 651276 868368 1157824 1302552 1736736 2315648 2605104 3473472 5210208 6946944 10420416 20840832