Search a number
-
+
1149115926 = 237236119501
BaseRepresentation
bin100010001111110…
…0001111000010110
32222002021010201010
41010133201320112
54323133202201
6310005313050
740322216130
oct10437417026
92862233633
101149115926
1153a711892
12280a05786
131540b986a
14ac886050
156ad38bd6
hex447e1e16

1149115926 has 64 divisors (see below), whose sum is σ = 2785821696. Its totient is φ = 308880000.

The previous prime is 1149115921. The next prime is 1149115927. The reversal of 1149115926 is 6295119411.

It is a super-2 number, since 2×11491159262 = 2640934822773674952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149115921) 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, 49176 + ... + 68676.

It is an arithmetic number, because the mean of its divisors is an integer number (43528464).

Almost surely, 21149115926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149115926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392910848).

1149115926 is an abundant number, since it is smaller than the sum of its proper divisors (1636705770).

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

1149115926 is a wasteful number, since it uses less digits than its factorization.

1149115926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19597.

The product of its digits is 19440, while the sum is 39.

The square root of 1149115926 is about 33898.6124494794. The cubic root of 1149115926 is about 1047.4210104046.

The spelling of 1149115926 in words is "one billion, one hundred forty-nine million, one hundred fifteen thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 61 69 122 138 161 183 322 366 427 483 854 966 1281 1403 2562 2806 4209 8418 9821 19501 19642 29463 39002 58503 58926 117006 136507 273014 409521 448523 819042 897046 1189561 1345569 2379122 2691138 3139661 3568683 6279322 7137366 8326927 9418983 16653854 18837966 24980781 27359903 49961562 54719806 82079709 164159418 191519321 383038642 574557963 1149115926