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1153125 = 325541
BaseRepresentation
bin100011001100001100101
32011120210100
410121201211
5243400000
640414313
712541611
oct4314145
92146710
101153125
117183a6
12477399
13314b2c
14220341
1517ba00
hex119865

1153125 has 36 divisors (see below), whose sum is σ = 2132676. Its totient is φ = 600000.

The previous prime is 1153123. The next prime is 1153147. The reversal of 1153125 is 5213511.

It can be written as a sum of positive squares in 6 ways, for example, as 1127844 + 25281 = 1062^2 + 159^2 .

It is not a de Polignac number, because 1153125 - 21 = 1153123 is a prime.

1153125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1153098 and 1153107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28105 + ... + 28145.

It is an arithmetic number, because the mean of its divisors is an integer number (59241).

21153125 is an apocalyptic number.

1153125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1153125 is a deficient number, since it is larger than the sum of its proper divisors (979551).

1153125 is an frugal number, since it uses more digits than its factorization.

1153125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its digits is 150, while the sum is 18.

The square root of 1153125 is about 1073.8365797457. The cubic root of 1153125 is about 104.8637689031.

Adding to 1153125 its reverse (5213511), we get a palindrome (6366636).

It can be divided in two parts, 115 and 3125, that added together give a triangular number (3240 = T80).

The spelling of 1153125 in words is "one million, one hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 125 205 225 369 375 615 625 1025 1125 1845 1875 3075 3125 5125 5625 9225 9375 15375 25625 28125 46125 76875 128125 230625 384375 1153125