Search a number
-
+
1159587044 = 227112232647
BaseRepresentation
bin100010100011101…
…1110010011100100
32222210222010101022
41011013132103210
54333323241134
6311021550312
740510220150
oct10507362344
92883863338
101159587044
11545613a00
12284415398
131563149a5
14b0010060
156bc0652e
hex451de4e4

1159587044 has 108 divisors (see below), whose sum is σ = 2668946112. Its totient is φ = 431476320.

The previous prime is 1159587029. The next prime is 1159587061. The reversal of 1159587044 is 4407859511.

It is a super-2 number, since 2×11595870442 = 2689284225225315872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1159586986 and 1159587004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1791929 + ... + 1792575.

It is an arithmetic number, because the mean of its divisors is an integer number (24712464).

Almost surely, 21159587044 is an apocalyptic number.

1159587044 is a gapful number since it is divisible by the number (14) 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 1159587044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334473056).

1159587044 is an abundant number, since it is smaller than the sum of its proper divisors (1509359068).

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

1159587044 is a wasteful number, since it uses less digits than its factorization.

1159587044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 44.

The square root of 1159587044 is about 34052.7097893839. The cubic root of 1159587044 is about 1050.5928757555.

The spelling of 1159587044 in words is "one billion, one hundred fifty-nine million, five hundred eighty-seven thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 121 154 161 242 253 308 322 484 506 529 644 647 847 1012 1058 1294 1694 1771 2116 2588 2783 3388 3542 3703 4529 5566 5819 7084 7117 7406 9058 11132 11638 14234 14812 14881 18116 19481 23276 28468 29762 38962 40733 49819 59524 64009 77924 78287 81466 99638 104167 128018 156574 162932 163691 199276 208334 256036 313148 327382 342263 416668 448063 548009 654764 684526 896126 1096018 1145837 1369052 1792252 1800601 2192036 2291674 2395841 3601202 3764893 4583348 4791682 7202404 7529786 9583364 12604207 15059572 25208414 26354251 41413823 50416828 52708502 82827646 105417004 165655292 289896761 579793522 1159587044