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1120480 = 25547149
BaseRepresentation
bin100010001100011100000
32002221000021
410101203200
5241323410
640003224
712344464
oct4214340
92087007
101120480
116a5919
12460514
1330300a
142124a4
15171eda
hex1118e0

1120480 has 48 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 435712.

The previous prime is 1120459. The next prime is 1120481. The reversal of 1120480 is 840211.

1120480 = T105 + T106 + ... + T198.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7446 + ... + 7594.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

21120480 is an apocalyptic number.

1120480 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 1120480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

1120480 is an abundant number, since it is smaller than the sum of its proper divisors (1601120).

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

1120480 is a wasteful number, since it uses less digits than its factorization.

1120480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1120480 is about 1058.5272788171. The cubic root of 1120480 is about 103.8647156156.

Adding to 1120480 its reverse (840211), we get a palindrome (1960691).

It can be divided in two parts, 1120 and 480, that added together give a square (1600 = 402).

The spelling of 1120480 in words is "one million, one hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 149 160 188 235 298 376 470 596 745 752 940 1192 1490 1504 1880 2384 2980 3760 4768 5960 7003 7520 11920 14006 23840 28012 35015 56024 70030 112048 140060 224096 280120 560240 1120480