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1116581532 = 2231167251503
BaseRepresentation
bin100001010001101…
…1010111010011100
32212211001012220120
41002203122322130
54241321102112
6302444114540
736445533513
oct10243327234
92784035816
101116581532
11523310260
12271b35a50
1314a438141
14a841767a
156805de8c
hex428dae9c

1116581532 has 96 divisors (see below), whose sum is σ = 2901878784. Its totient is φ = 331320000.

The previous prime is 1116581527. The next prime is 1116581533. The reversal of 1116581532 is 2351856111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1116581493 and 1116581502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116581533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2219593 + ... + 2220095.

It is an arithmetic number, because the mean of its divisors is an integer number (30227904).

Almost surely, 21116581532 is an apocalyptic number.

1116581532 is a gapful number since it is divisible by the number (12) 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 1116581532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450939392).

1116581532 is an abundant number, since it is smaller than the sum of its proper divisors (1785297252).

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

1116581532 is a wasteful number, since it uses less digits than its factorization.

1116581532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 837 counting only the distinct ones).

The product of its digits is 7200, while the sum is 33.

The square root of 1116581532 is about 33415.2888959530. The cubic root of 1116581532 is about 1037.4411736521.

The spelling of 1116581532 in words is "one billion, one hundred sixteen million, five hundred eighty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 251 268 402 502 503 737 753 804 1004 1006 1474 1506 1509 2012 2211 2761 2948 3012 3018 4422 5522 5533 6036 8283 8844 11044 11066 16566 16599 16817 22132 33132 33198 33634 33701 50451 66396 67268 67402 100902 101103 126253 134804 184987 201804 202206 252506 369974 370711 378759 404412 505012 554961 739948 741422 757518 1109922 1112133 1388783 1482844 1515036 2219844 2224266 2777566 4166349 4448532 5555132 8332698 8458951 16665396 16917902 25376853 33835804 50753706 93048461 101507412 186096922 279145383 372193844 558290766 1116581532