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1049120 = 2557983
BaseRepresentation
bin100000000001000100000
31222022010022
410000020200
5232032440
634253012
711626442
oct4001040
91868108
101049120
11657246
12427168
132a96a7
141d4492
1515acb5
hex100220

1049120 has 48 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 409344.

The previous prime is 1049117. The next prime is 1049129. The reversal of 1049120 is 219401.

It is a happy number.

It is a super-2 number, since 2×10491202 = 2201305548800, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12599 + ... + 12681.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

21049120 is an apocalyptic number.

1049120 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 1049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

1049120 is an abundant number, since it is smaller than the sum of its proper divisors (1491040).

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

1049120 is an equidigital number, since it uses as much as digits as its factorization.

1049120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1049120 is about 1024.2655905574. The cubic root of 1049120 is about 101.6112331805.

The spelling of 1049120 in words is "one million, forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 83 158 160 166 316 332 395 415 632 664 790 830 1264 1328 1580 1660 2528 2656 3160 3320 6320 6557 6640 12640 13114 13280 26228 32785 52456 65570 104912 131140 209824 262280 524560 1049120