Search a number
-
+
4326480 = 243352003
BaseRepresentation
bin10000100000010001010000
322010210211000
4100200101100
52101421410
6232422000
751526434
oct20402120
98123730
104326480
112495604
121547900
13b86362
148089c4
155a6dc0
hex420450

4326480 has 80 divisors (see below), whose sum is σ = 14909760. Its totient is φ = 1153152.

The previous prime is 4326473. The next prime is 4326493. The reversal of 4326480 is 846234.

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

It is a Smith number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1159 + ... + 3161.

It is an arithmetic number, because the mean of its divisors is an integer number (186372).

Almost surely, 24326480 is an apocalyptic number.

4326480 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 4326480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7454880).

4326480 is an abundant number, since it is smaller than the sum of its proper divisors (10583280).

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

4326480 is a wasteful number, since it uses less digits than its factorization.

4326480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4326480 is about 2080.0192306803. The cubic root of 4326480 is about 162.9464488418.

The spelling of 4326480 in words is "four million, three hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2003 2160 4006 6009 8012 10015 12018 16024 18027 20030 24036 30045 32048 36054 40060 48072 54081 60090 72108 80120 90135 96144 108162 120180 144216 160240 180270 216324 240360 270405 288432 360540 432648 480720 540810 721080 865296 1081620 1442160 2163240 4326480