Search a number
-
+
1424880 = 243251979
BaseRepresentation
bin101011011110111110000
32200101120100
411123313300
5331044010
650312400
715053112
oct5336760
92611510
101424880
11893596
12588700
133ab732
142913b2
151d22c0
hex15bdf0

1424880 has 60 divisors (see below), whose sum is σ = 4787640. Its totient is φ = 379776.

The previous prime is 1424869. The next prime is 1424881. The reversal of 1424880 is 884241.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270 + ... + 1709.

It is an arithmetic number, because the mean of its divisors is an integer number (79794).

21424880 is an apocalyptic number.

1424880 is a gapful number since it is divisible by the number (10) 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 1424880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393820).

1424880 is an abundant number, since it is smaller than the sum of its proper divisors (3362760).

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

1424880 is a wasteful number, since it uses less digits than its factorization.

1424880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1424880 is about 1193.6833751041. The cubic root of 1424880 is about 112.5276968843.

It can be divided in two parts, 1424 and 880, that added together give a square (2304 = 482).

The spelling of 1424880 in words is "one million, four hundred twenty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1979 3958 5937 7916 9895 11874 15832 17811 19790 23748 29685 31664 35622 39580 47496 59370 71244 79160 89055 94992 118740 142488 158320 178110 237480 284976 356220 474960 712440 1424880