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1129072 = 24717593
BaseRepresentation
bin100010011101001110000
32010100210111
410103221300
5242112242
640111104
712411520
oct4235160
92110714
101129072
1170131a
12465494
13306bb9
14215680
15174817
hex113a70

1129072 has 40 divisors (see below), whose sum is σ = 2651616. Its totient is φ = 454656.

The previous prime is 1129043. The next prime is 1129103. The reversal of 1129072 is 2709211.

1129072 is nontrivially palindromic in base 6.

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, 1608 + ... + 2200.

21129072 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 1129072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325808).

1129072 is an abundant number, since it is smaller than the sum of its proper divisors (1522544).

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

1129072 is a wasteful number, since it uses less digits than its factorization.

1129072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 1129072 is about 1062.5779971372. The cubic root of 1129072 is about 104.1295230414.

It can be divided in two parts, 112 and 9072, that multiplied together give a square (1016064 = 10082).

The spelling of 1129072 in words is "one million, one hundred twenty-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 593 952 1186 1904 2372 4151 4744 8302 9488 10081 16604 20162 33208 40324 66416 70567 80648 141134 161296 282268 564536 1129072