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1129888 = 25173167
BaseRepresentation
bin100010011110110100000
32010101220201
410103312200
5242124023
640114544
712414064
oct4236640
92111821
101129888
117019a1
12465a54
13307396
14215aa4
15174bad
hex113da0

1129888 has 48 divisors (see below), whose sum is σ = 2467584. Its totient is φ = 506880.

The previous prime is 1129861. The next prime is 1129889. The reversal of 1129888 is 8889211.

It is not an unprimeable number, because it can be changed into a prime (1129889) 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, 16831 + ... + 16897.

It is an arithmetic number, because the mean of its divisors is an integer number (51408).

21129888 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 1129888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792).

1129888 is an abundant number, since it is smaller than the sum of its proper divisors (1337696).

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

1129888 is a wasteful number, since it uses less digits than its factorization.

1129888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its digits is 9216, while the sum is 37.

The square root of 1129888 is about 1062.9618995994. The cubic root of 1129888 is about 104.1546024073.

It can be divided in two parts, 112 and 9888, that added together give a 4-th power (10000 = 104).

The spelling of 1129888 in words is "one million, one hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 67 68 124 134 136 248 268 272 496 527 536 544 992 1054 1072 1139 2077 2108 2144 2278 4154 4216 4556 8308 8432 9112 16616 16864 18224 33232 35309 36448 66464 70618 141236 282472 564944 1129888