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200480 = 2557179
BaseRepresentation
bin110000111100100000
3101012000012
4300330200
522403410
64144052
71463330
oct607440
9335005
10200480
11127695
1298028
1370337
14530c0
153e605
hex30f20

200480 has 48 divisors (see below), whose sum is σ = 544320. Its totient is φ = 68352.

The previous prime is 200467. The next prime is 200483. The reversal of 200480 is 84002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (200483) by changing a digit.

200480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1031 + ... + 1209.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2200480 is an apocalyptic number.

200480 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 200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

200480 is an abundant number, since it is smaller than the sum of its proper divisors (343840).

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

200480 is a wasteful number, since it uses less digits than its factorization.

200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 200480 is about 447.7499302066. The cubic root of 200480 is about 58.5271016705.

Adding to 200480 its reverse (84002), we get a palindrome (284482).

The spelling of 200480 in words is "two hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 179 224 280 358 560 716 895 1120 1253 1432 1790 2506 2864 3580 5012 5728 6265 7160 10024 12530 14320 20048 25060 28640 40096 50120 100240 200480