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1125520 = 245111279
BaseRepresentation
bin100010010110010010000
32010011220221
410102302100
5242004040
640042424
712365254
oct4226220
92104827
101125520
116a9690
12463414
133053b6
14214264
1517374a
hex112c90

1125520 has 40 divisors (see below), whose sum is σ = 2856960. Its totient is φ = 408960.

The previous prime is 1125499. The next prime is 1125529. The reversal of 1125520 is 255211.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1125494 and 1125503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125529) 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, 241 + ... + 1519.

It is an arithmetic number, because the mean of its divisors is an integer number (71424).

21125520 is an apocalyptic number.

1125520 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 1125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428480).

1125520 is an abundant number, since it is smaller than the sum of its proper divisors (1731440).

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

1125520 is a wasteful number, since it uses less digits than its factorization.

1125520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1125520 is about 1060.9052738110. The cubic root of 1125520 is about 104.0202130337.

It can be divided in two parts, 1 and 125520, that added together give a palindrome (125521).

The spelling of 1125520 in words is "one million, one hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1279 2558 5116 6395 10232 12790 14069 20464 25580 28138 51160 56276 70345 102320 112552 140690 225104 281380 562760 1125520