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1125400 = 235217331
BaseRepresentation
bin100010010110000011000
32010011202111
410102300120
5242003100
640042104
712365023
oct4226030
92104674
101125400
116a9591
12463334
13305323
142141ba
151736ba
hex112c18

1125400 has 48 divisors (see below), whose sum is σ = 2778840. Its totient is φ = 422400.

The previous prime is 1125391. The next prime is 1125401. The reversal of 1125400 is 45211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125401) 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 11 ways as a sum of consecutive naturals, for example, 3235 + ... + 3565.

21125400 is an apocalyptic number.

1125400 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 1125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389420).

1125400 is an abundant number, since it is smaller than the sum of its proper divisors (1653440).

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

1125400 is a wasteful number, since it uses less digits than its factorization.

1125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1125400 is about 1060.8487168301. The cubic root of 1125400 is about 104.0165161146.

The spelling of 1125400 in words is "one million, one hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 331 340 425 662 680 850 1324 1655 1700 2648 3310 3400 5627 6620 8275 11254 13240 16550 22508 28135 33100 45016 56270 66200 112540 140675 225080 281350 562700 1125400