Search a number
-
+
4480080 = 2435111697
BaseRepresentation
bin10001000101110001010000
322102121111220
4101011301100
52121330310
6240005040
753036313
oct21056120
98377456
104480080
11258aa50
121600780
13c0b247
1484897a
155d7670
hex445c50

4480080 has 80 divisors (see below), whose sum is σ = 15159744. Its totient is φ = 1085440.

The previous prime is 4480043. The next prime is 4480081. The reversal of 4480080 is 800844.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×44800802 = 40142233612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4480080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4480081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792 + ... + 3488.

Almost surely, 24480080 is an apocalyptic number.

4480080 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 4480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579872).

4480080 is an abundant number, since it is smaller than the sum of its proper divisors (10679664).

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

4480080 is a wasteful number, since it uses less digits than its factorization.

4480080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4480080 is about 2116.6199469910. The cubic root of 4480080 is about 164.8523932449.

It can be divided in two parts, 4 and 480080, that added together give a palindrome (480084).

The spelling of 4480080 in words is "four million, four hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 1697 2640 3394 5091 6788 8485 10182 13576 16970 18667 20364 25455 27152 33940 37334 40728 50910 56001 67880 74668 81456 93335 101820 112002 135760 149336 186670 203640 224004 280005 298672 373340 407280 448008 560010 746680 896016 1120020 1493360 2240040 4480080