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1125408 = 25319617
BaseRepresentation
bin100010010110000100000
32010011202210
410102300200
5242003113
640042120
712365034
oct4226040
92104683
101125408
116a9599
12463340
1330532b
142141c4
151736c3
hex112c20

1125408 has 48 divisors (see below), whose sum is σ = 3114720. Its totient is φ = 354816.

The previous prime is 1125407. The next prime is 1125419. The reversal of 1125408 is 8045211.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1125401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1516 + ... + 2132.

It is an arithmetic number, because the mean of its divisors is an integer number (64890).

21125408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557360).

1125408 is an abundant number, since it is smaller than the sum of its proper divisors (1989312).

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

1125408 is a wasteful number, since it uses less digits than its factorization.

1125408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1125408 is about 1060.8524873893. The cubic root of 1125408 is about 104.0167625841.

The spelling of 1125408 in words is "one million, one hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 617 912 1234 1824 1851 2468 3702 4936 7404 9872 11723 14808 19744 23446 29616 35169 46892 59232 70338 93784 140676 187568 281352 375136 562704 1125408