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1125160 = 235231223
BaseRepresentation
bin100010010101100101000
32010011102121
410102230220
5242001120
640041024
712364231
oct4225450
92104377
101125160
116a9393
12463174
1330519a
14214088
151735aa
hex112b28

1125160 has 32 divisors (see below), whose sum is σ = 2643840. Its totient is φ = 430144.

The previous prime is 1125151. The next prime is 1125167. The reversal of 1125160 is 615211.

1125160 = T5 + T6 + ... + T188.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1125167) 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, 309 + ... + 1531.

It is an arithmetic number, because the mean of its divisors is an integer number (82620).

21125160 is an apocalyptic number.

1125160 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 1125160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321920).

1125160 is an abundant number, since it is smaller than the sum of its proper divisors (1518680).

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

1125160 is a wasteful number, since it uses less digits than its factorization.

1125160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1125160 is about 1060.7355938216. The cubic root of 1125160 is about 104.0091214879.

It can be divided in two parts, 11251 and 60, that added together give a palindrome (11311).

The spelling of 1125160 in words is "one million, one hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1223 2446 4892 6115 9784 12230 24460 28129 48920 56258 112516 140645 225032 281290 562580 1125160