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454520 = 235111033
BaseRepresentation
bin1101110111101111000
3212002111002
41232331320
5104021040
613424132
73602063
oct1567570
9762432
10454520
11290540
1219b048
1312bb61
14bb8da
158ea15
hex6ef78

454520 has 32 divisors (see below), whose sum is σ = 1116720. Its totient is φ = 165120.

The previous prime is 454513. The next prime is 454541. The reversal of 454520 is 25454.

It is a happy number.

454520 is nontrivially palindromic in base 7.

454520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 454492 and 454501.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 454520.

It is an unprimeable number.

454520 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, 77 + ... + 956.

2454520 is an apocalyptic number.

454520 is a gapful number since it is divisible by the number (40) 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 454520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558360).

454520 is an abundant number, since it is smaller than the sum of its proper divisors (662200).

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

454520 is a wasteful number, since it uses less digits than its factorization.

454520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 454520 is about 674.1809846028. The cubic root of 454520 is about 76.8866607116.

Adding to 454520 its reverse (25454), we get a palindrome (479974).

The spelling of 454520 in words is "four hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1033 2066 4132 5165 8264 10330 11363 20660 22726 41320 45452 56815 90904 113630 227260 454520