Search a number
-
+
454116 = 223134171
BaseRepresentation
bin1101110110111100100
3212001221010
41232313210
5104012431
613422220
73600645
oct1566744
9761833
10454116
11290203
1219a970
1312b910
14bb6cc
158e846
hex6ede4

454116 has 48 divisors (see below), whose sum is σ = 1185408. Its totient is φ = 134400.

The previous prime is 454109. The next prime is 454141. The reversal of 454116 is 611454.

454116 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 = 454092 and 454101.

It is a congruent number.

It is an unprimeable number.

454116 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 15 ways as a sum of consecutive naturals, for example, 6361 + ... + 6431.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2454116 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 454116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704).

454116 is an abundant number, since it is smaller than the sum of its proper divisors (731292).

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

454116 is a wasteful number, since it uses less digits than its factorization.

454116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 454116 is about 673.8812951848. The cubic root of 454116 is about 76.8638737285.

The spelling of 454116 in words is "four hundred fifty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 71 78 82 123 142 156 164 213 246 284 426 492 533 852 923 1066 1599 1846 2132 2769 2911 3198 3692 5538 5822 6396 8733 11076 11644 17466 34932 37843 75686 113529 151372 227058 454116