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1125920 = 25531227
BaseRepresentation
bin100010010111000100000
32010012110202
410102320200
5242012140
640044332
712366365
oct4227040
92105422
101125920
116a9a14
124636a8
13305633
1421446c
15173915
hex112e20

1125920 has 48 divisors (see below), whose sum is σ = 2757888. Its totient is φ = 433920.

The previous prime is 1125913. The next prime is 1125923. The reversal of 1125920 is 295211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1125892 and 1125901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125923) 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, 4847 + ... + 5073.

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

21125920 is an apocalyptic number.

1125920 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 1125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944).

1125920 is an abundant number, since it is smaller than the sum of its proper divisors (1631968).

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

1125920 is a wasteful number, since it uses less digits than its factorization.

1125920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1125920 is about 1061.0937753092. The cubic root of 1125920 is about 104.0325342000.

The spelling of 1125920 in words is "one million, one hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 227 248 310 454 496 620 908 992 1135 1240 1816 2270 2480 3632 4540 4960 7037 7264 9080 14074 18160 28148 35185 36320 56296 70370 112592 140740 225184 281480 562960 1125920