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1125540 = 2232513237
BaseRepresentation
bin100010010110010100100
32010011221200
410102302210
5242004130
640042500
712365313
oct4226244
92104850
101125540
116a96a9
12463430
13305400
1421427a
15173760
hex112ca4

1125540 has 108 divisors (see below), whose sum is σ = 3796884. Its totient is φ = 269568.

The previous prime is 1125539. The next prime is 1125557. The reversal of 1125540 is 455211.

1125540 is a `hidden beast` number, since 1 + 125 + 540 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 60516 + 1065024 = 246^2 + 1032^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30402 + ... + 30438.

21125540 is an apocalyptic number.

1125540 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 1125540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898442).

1125540 is an abundant number, since it is smaller than the sum of its proper divisors (2671344).

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

1125540 is a wasteful number, since it uses less digits than its factorization.

1125540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1125540 is about 1060.9146996814. The cubic root of 1125540 is about 104.0208291614.

The spelling of 1125540 in words is "one million, one hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 65 74 78 90 111 117 130 148 156 169 180 185 195 222 234 260 333 338 370 390 444 468 481 507 555 585 666 676 740 780 845 962 1014 1110 1170 1332 1443 1521 1665 1690 1924 2028 2220 2340 2405 2535 2886 3042 3330 3380 4329 4810 5070 5772 6084 6253 6660 7215 7605 8658 9620 10140 12506 14430 15210 17316 18759 21645 25012 28860 30420 31265 37518 43290 56277 62530 75036 86580 93795 112554 125060 187590 225108 281385 375180 562770 1125540