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1125360 = 24335521
BaseRepresentation
bin100010010101111110000
32010011201000
410102233300
5242002420
640042000
712364635
oct4225760
92104630
101125360
116a9555
12463300
133052c2
1421418c
15173690
hex112bf0

1125360 has 80 divisors (see below), whose sum is σ = 3883680. Its totient is φ = 299520.

The previous prime is 1125359. The next prime is 1125361. The reversal of 1125360 is 635211.

It is an interprime number because it is at equal distance from previous prime (1125359) and next prime (1125361).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1900 + ... + 2420.

It is an arithmetic number, because the mean of its divisors is an integer number (48546).

21125360 is an apocalyptic number.

1125360 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 1125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941840).

1125360 is an abundant number, since it is smaller than the sum of its proper divisors (2758320).

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

1125360 is a wasteful number, since it uses less digits than its factorization.

1125360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1125360 is about 1060.8298638330. The cubic root of 1125360 is about 104.0152837499.

It can be divided in two parts, 1125 and 360, that added together give a triangular number (1485 = T54).

The spelling of 1125360 in words is "one million, one hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 521 540 720 1042 1080 1563 2084 2160 2605 3126 4168 4689 5210 6252 7815 8336 9378 10420 12504 14067 15630 18756 20840 23445 25008 28134 31260 37512 41680 46890 56268 62520 70335 75024 93780 112536 125040 140670 187560 225072 281340 375120 562680 1125360