Search a number
-
+
1136480324 = 227223297113
BaseRepresentation
bin100001110111101…
…0101000001000100
32221012111011220212
41003233111001010
54311414332244
6304434414552
740106631500
oct10357250104
92835434825
101136480324
11533571541
12278731458
131515b4485
14aad17300
1569b8ed9e
hex43bd5044

1136480324 has 108 divisors (see below), whose sum is σ = 2465068284. Its totient is φ = 457003008.

The previous prime is 1136480299. The next prime is 1136480327. The reversal of 1136480324 is 4230846311.

It can be written as a sum of positive squares in 2 ways, for example, as 200732224 + 935748100 = 14168^2 + 30590^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136480327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10057292 + ... + 10057404.

Almost surely, 21136480324 is an apocalyptic number.

1136480324 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 1136480324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232534142).

1136480324 is an abundant number, since it is smaller than the sum of its proper divisors (1328587960).

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

1136480324 is a wasteful number, since it uses less digits than its factorization.

1136480324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 1136480324 is about 33711.7238360782. The cubic root of 1136480324 is about 1043.5677283924.

The spelling of 1136480324 in words is "one billion, one hundred thirty-six million, four hundred eighty thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 97 98 113 161 194 196 226 322 388 452 529 644 679 791 1058 1127 1358 1582 2116 2231 2254 2599 2716 3164 3703 4462 4508 4753 5198 5537 7406 8924 9506 10396 10961 11074 14812 15617 18193 19012 21922 22148 25921 31234 36386 43844 51313 51842 59777 62468 72772 76727 102626 103684 109319 119554 127351 153454 205252 218638 239108 252103 254702 306908 359191 418439 437276 504206 509404 537089 718382 836878 1008412 1074178 1436764 1673756 1764721 2148356 2514337 2929073 3529442 5028674 5798369 5858146 7058884 10057348 11596738 11716292 12353047 23193476 24706094 40588583 49412188 81177166 162354332 284120081 568240162 1136480324