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1120420 = 225753151
BaseRepresentation
bin100010001100010100100
32002220221001
410101202210
5241323140
640003044
712344350
oct4214244
92086831
101120420
116a5874
12460484
13302c92
14212460
15171e9a
hex1118a4

1120420 has 48 divisors (see below), whose sum is σ = 2757888. Its totient is φ = 374400.

The previous prime is 1120391. The next prime is 1120423. The reversal of 1120420 is 240211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1120397 and 1120406.

It is not an unprimeable number, because it can be changed into a prime (1120423) 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 15 ways as a sum of consecutive naturals, for example, 7345 + ... + 7495.

It is an arithmetic number, because the mean of its divisors is an integer number (57456).

21120420 is an apocalyptic number.

1120420 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 1120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944).

1120420 is an abundant number, since it is smaller than the sum of its proper divisors (1637468).

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

1120420 is a wasteful number, since it uses less digits than its factorization.

1120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1120420 is about 1058.4989371747. The cubic root of 1120420 is about 103.8628616500.

Adding to 1120420 its reverse (240211), we get a palindrome (1360631).

It can be divided in two parts, 1120 and 420, that added together give a triangular number (1540 = T55).

The spelling of 1120420 in words is "one million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 151 212 265 302 371 530 604 742 755 1057 1060 1484 1510 1855 2114 3020 3710 4228 5285 7420 8003 10570 16006 21140 32012 40015 56021 80030 112042 160060 224084 280105 560210 1120420