Search a number
-
+
454160 = 2457811
BaseRepresentation
bin1101110111000010000
3212001222202
41232320100
5104013120
613422332
73601040
oct1567020
9761882
10454160
11290243
1219a9a8
1312b945
14bb720
158e875
hex6ee10

454160 has 40 divisors (see below), whose sum is σ = 1208256. Its totient is φ = 155520.

The previous prime is 454159. The next prime is 454183. The reversal of 454160 is 61454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4541602 = 412522611200, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155 + ... + 965.

2454160 is an apocalyptic number.

454160 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 454160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604128).

454160 is an abundant number, since it is smaller than the sum of its proper divisors (754096).

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

454160 is a wasteful number, since it uses less digits than its factorization.

454160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 454160 is about 673.9139410934. The cubic root of 454160 is about 76.8663561348.

The spelling of 454160 in words is "four hundred fifty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 811 1622 3244 4055 5677 6488 8110 11354 12976 16220 22708 28385 32440 45416 56770 64880 90832 113540 227080 454160