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20291232 = 2531371229
BaseRepresentation
bin100110101100…
…1111010100000
31102011220100010
41031121322200
520143304412
62002524520
7334321053
oct115317240
942156303
1020291232
11104aa115
126966740
134285b60
1429a2a9a
151bac33c
hex1359ea0

20291232 has 96 divisors (see below), whose sum is σ = 58423680. Its totient is φ = 6128640.

The previous prime is 20291231. The next prime is 20291233. The reversal of 20291232 is 23219202.

It is an interprime number because it is at equal distance from previous prime (20291231) and next prime (20291233).

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 = 20291199 and 20291208.

It is not an unprimeable number, because it can be changed into a prime (20291231) 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, 88494 + ... + 88722.

It is an arithmetic number, because the mean of its divisors is an integer number (608580).

Almost surely, 220291232 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 20291232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29211840).

20291232 is an abundant number, since it is smaller than the sum of its proper divisors (38132448).

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

20291232 is a wasteful number, since it uses less digits than its factorization.

20291232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20291232 is about 4504.5790036362. The cubic root of 20291232 is about 272.7529598432.

The spelling of 20291232 in words is "twenty million, two hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 229 284 312 416 426 458 568 624 687 852 916 923 1136 1248 1374 1704 1832 1846 2272 2748 2769 2977 3408 3664 3692 5496 5538 5954 6816 7328 7384 8931 10992 11076 11908 14768 16259 17862 21984 22152 23816 29536 32518 35724 44304 47632 48777 65036 71448 88608 95264 97554 130072 142896 195108 211367 260144 285792 390216 422734 520288 634101 780432 845468 1268202 1560864 1690936 2536404 3381872 5072808 6763744 10145616 20291232