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1125984 = 25337317
BaseRepresentation
bin100010010111001100000
32010012120010
410102321200
5242012414
640044520
712366516
oct4227140
92105503
101125984
116a9a72
12463740
13305682
142144b6
15173959
hex112e60

1125984 has 48 divisors (see below), whose sum is σ = 3045168. Its totient is φ = 364032.

The previous prime is 1125973. The next prime is 1125991. The reversal of 1125984 is 4895211.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3394 + ... + 3710.

It is an arithmetic number, because the mean of its divisors is an integer number (63441).

21125984 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 1125984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522584).

1125984 is an abundant number, since it is smaller than the sum of its proper divisors (1919184).

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

1125984 is a wasteful number, since it uses less digits than its factorization.

1125984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 1125984 is about 1061.1239324414. The cubic root of 1125984 is about 104.0345053158.

The spelling of 1125984 in words is "one million, one hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 317 444 592 634 888 951 1184 1268 1776 1902 2536 3552 3804 5072 7608 10144 11729 15216 23458 30432 35187 46916 70374 93832 140748 187664 281496 375328 562992 1125984