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480260 = 225113759
BaseRepresentation
bin1110101010000000100
3220101210102
41311100010
5110332020
614143232
74040114
oct1652004
9811712
10480260
112a8910
121b1b18
1313a7a1
14c7044
1597475
hex75404

480260 has 48 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 167040.

The previous prime is 480209. The next prime is 480287. The reversal of 480260 is 62084.

480260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 8111 + ... + 8169.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2480260 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 480260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

480260 is an abundant number, since it is smaller than the sum of its proper divisors (668860).

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

480260 is a wasteful number, since it uses less digits than its factorization.

480260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 480260 is about 693.0079364625. The cubic root of 480260 is about 78.3114872937.

The spelling of 480260 in words is "four hundred eighty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 59 74 110 118 148 185 220 236 295 370 407 590 649 740 814 1180 1298 1628 2035 2183 2596 3245 4070 4366 6490 8140 8732 10915 12980 21830 24013 43660 48026 96052 120065 240130 480260