Search a number
-
+
280020 = 223513359
BaseRepresentation
bin1000100010111010100
3112020010010
41010113110
532430040
610000220
72244246
oct1042724
9466103
10280020
11181424
12116070
139a5c0
1474096
1557e80
hex445d4

280020 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 68736.

The previous prime is 280013. The next prime is 280031. The reversal of 280020 is 20082.

It is a super-2 number, since 2×2800202 = 156822400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 279978 and 280005.

It is a congruent number.

It is an unprimeable number.

280020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2280020 is an apocalyptic number.

280020 is a gapful number since it is divisible by the number (20) 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 280020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

280020 is an abundant number, since it is smaller than the sum of its proper divisors (566700).

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

280020 is a wasteful number, since it uses less digits than its factorization.

280020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 280020 is about 529.1691600991. The cubic root of 280020 is about 65.4228838173.

The spelling of 280020 in words is "two hundred eighty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 359 390 718 780 1077 1436 1795 2154 3590 4308 4667 5385 7180 9334 10770 14001 18668 21540 23335 28002 46670 56004 70005 93340 140010 280020