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452920 = 23513267
BaseRepresentation
bin1101110100100111000
3212000021211
41232210320
5103443140
613412504
73564316
oct1564470
9760254
10452920
1128a316
1219a134
1312b200
14bb0b6
158e2ea
hex6e938

452920 has 48 divisors (see below), whose sum is σ = 1119960. Its totient is φ = 164736.

The previous prime is 452873. The next prime is 452923. The reversal of 452920 is 29254.

It is a happy number.

452920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 452891 and 452900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452923) by changing a digit.

452920 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 11 ways as a sum of consecutive naturals, for example, 6727 + ... + 6793.

2452920 is an apocalyptic number.

452920 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 452920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559980).

452920 is an abundant number, since it is smaller than the sum of its proper divisors (667040).

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

452920 is a wasteful number, since it uses less digits than its factorization.

452920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 452920 is about 672.9933134883. The cubic root of 452920 is about 76.7963359074.

The spelling of 452920 in words is "four hundred fifty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 169 260 268 335 338 520 536 670 676 845 871 1340 1352 1690 1742 2680 3380 3484 4355 6760 6968 8710 11323 17420 22646 34840 45292 56615 90584 113230 226460 452920