Search a number
-
+
1125376 = 2107157
BaseRepresentation
bin100010010110000000000
32010011201121
410102300000
5242003001
640042024
712364660
oct4226000
92104647
101125376
116a956a
12463314
13305305
142141a0
151736a1
hex112c00

1125376 has 44 divisors (see below), whose sum is σ = 2587408. Its totient is φ = 479232.

The previous prime is 1125361. The next prime is 1125379. The reversal of 1125376 is 6735211.

It is a super-2 number, since 2×11253762 = 2532942282752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1125376.

It is not an unprimeable number, because it can be changed into a prime (1125379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7090 + ... + 7246.

21125376 is an apocalyptic number.

1125376 is a gapful number since it is divisible by the number (16) 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 1125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293704).

1125376 is an abundant number, since it is smaller than the sum of its proper divisors (1462032).

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

1125376 is an equidigital number, since it uses as much as digits as its factorization.

1125376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 1125376 is about 1060.8374050720. The cubic root of 1125376 is about 104.0157766993.

The spelling of 1125376 in words is "one million, one hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 157 224 256 314 448 512 628 896 1024 1099 1256 1792 2198 2512 3584 4396 5024 7168 8792 10048 17584 20096 35168 40192 70336 80384 140672 160768 281344 562688 1125376