Search a number
-
+
1125792 = 25331303
BaseRepresentation
bin100010010110110100000
32010012022000
410102312200
5242011132
640044000
712366123
oct4226640
92105260
101125792
116a9908
12463600
13305565
142143ba
1517387c
hex112da0

1125792 has 48 divisors (see below), whose sum is σ = 3286080. Its totient is φ = 374976.

The previous prime is 1125767. The next prime is 1125793. The reversal of 1125792 is 2975211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1125793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213 + ... + 1515.

It is an arithmetic number, because the mean of its divisors is an integer number (68460).

21125792 is an apocalyptic number.

1125792 is a gapful number since it is divisible by the number (12) 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 1125792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643040).

1125792 is an abundant number, since it is smaller than the sum of its proper divisors (2160288).

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

1125792 is a wasteful number, since it uses less digits than its factorization.

1125792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1308 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 1125792 is about 1061.0334584734. The cubic root of 1125792 is about 104.0285917443.

The spelling of 1125792 in words is "one million, one hundred twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1303 2606 3909 5212 7818 10424 11727 15636 20848 23454 31272 35181 41696 46908 62544 70362 93816 125088 140724 187632 281448 375264 562896 1125792