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450520 = 23571609
BaseRepresentation
bin1101101111111011000
3211212222221
41231333120
5103404040
613353424
73554320
oct1557730
9755887
10450520
11288534
12198874
1312a0a5
14ba280
158d74a
hex6dfd8

450520 has 32 divisors (see below), whose sum is σ = 1159200. Its totient is φ = 154368.

The previous prime is 450503. The next prime is 450529. The reversal of 450520 is 25054.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 450494 and 450503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450529) by changing a digit.

450520 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525 + ... + 1084.

It is an arithmetic number, because the mean of its divisors is an integer number (36225).

2450520 is an apocalyptic number.

450520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450520 is an abundant number, since it is smaller than the sum of its proper divisors (708680).

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

450520 is a wasteful number, since it uses less digits than its factorization.

450520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 450520 is about 671.2078664616. The cubic root of 450520 is about 76.6604489812.

Adding to 450520 its reverse (25054), we get a palindrome (475574).

It can be divided in two parts, 4505 and 20, that multiplied together give a triangular number (90100 = T424).

The spelling of 450520 in words is "four hundred fifty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1609 3218 6436 8045 11263 12872 16090 22526 32180 45052 56315 64360 90104 112630 225260 450520