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285720032 = 25135312959
BaseRepresentation
bin10001000001111…
…011110111100000
3201220122002012102
4101001323313200
51041121020112
644203545532
710036403003
oct2101736740
9656562172
10285720032
11137310764
127b82b2a8
134726b110
1429d3753a
151a13cbc2
hex1107bde0

285720032 has 48 divisors (see below), whose sum is σ = 617258880. Its totient is φ = 129372672.

The previous prime is 285720023. The next prime is 285720041. The reversal of 285720032 is 230027582.

It is an interprime number because it is at equal distance from previous prime (285720023) and next prime (285720041).

It is a junction number, because it is equal to n+sod(n) for n = 285719977 and 285720004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15569 + ... + 28527.

It is an arithmetic number, because the mean of its divisors is an integer number (12859560).

Almost surely, 2285720032 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 285720032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308629440).

285720032 is an abundant number, since it is smaller than the sum of its proper divisors (331538848).

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

285720032 is a wasteful number, since it uses less digits than its factorization.

285720032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13035 (or 13027 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 285720032 is about 16903.2550711394. The cubic root of 285720032 is about 658.6381714594.

The spelling of 285720032 in words is "two hundred eighty-five million, seven hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 208 212 416 424 689 848 1378 1696 2756 5512 11024 12959 22048 25918 51836 103672 168467 207344 336934 414688 673868 686827 1347736 1373654 2695472 2747308 5390944 5494616 8928751 10989232 17857502 21978464 35715004 71430008 142860016 285720032