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1132004412 = 2232711439497
BaseRepresentation
bin100001101111001…
…0000010000111100
32220220001210010100
41003132100100330
54304243120122
6304154441100
740023610260
oct10336202074
92826053110
101132004412
11530a94740
12277133190
131506a80c6
14aa4b00a0
15695a8aac
hex4379043c

1132004412 has 144 divisors (see below), whose sum is σ = 3650879232. Its totient is φ = 287159040.

The previous prime is 1132004411. The next prime is 1132004417. The reversal of 1132004412 is 2144002311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132004411) 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 47 ways as a sum of consecutive naturals, for example, 114448 + ... + 123944.

It is an arithmetic number, because the mean of its divisors is an integer number (25353328).

Almost surely, 21132004412 is an apocalyptic number.

1132004412 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 1132004412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825439616).

1132004412 is an abundant number, since it is smaller than the sum of its proper divisors (2518874820).

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

1132004412 is a wasteful number, since it uses less digits than its factorization.

1132004412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9568 (or 9563 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1132004412 is about 33645.2732490019. The cubic root of 1132004412 is about 1042.1959308495.

Adding to 1132004412 its reverse (2144002311), we get a palindrome (3276006723).

The spelling of 1132004412 in words is "one billion, one hundred thirty-two million, four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 43 44 63 66 77 84 86 99 126 129 132 154 172 198 231 252 258 301 308 387 396 462 473 516 602 693 774 903 924 946 1204 1386 1419 1548 1806 1892 2709 2772 2838 3311 3612 4257 5418 5676 6622 8514 9497 9933 10836 13244 17028 18994 19866 28491 29799 37988 39732 56982 59598 66479 85473 104467 113964 119196 132958 170946 199437 208934 265916 313401 341892 398874 408371 417868 598311 626802 731269 797748 816742 940203 1196622 1225113 1253604 1462538 1633484 1880406 2193807 2393244 2450226 2858597 2925076 3675339 3760812 4387614 4492081 4900452 5717194 6581421 7350678 8575791 8775228 8984162 11434388 13162842 13476243 14701356 17151582 17968324 25727373 26325684 26952486 31444567 34303164 40428729 51454746 53904972 62889134 80857458 94333701 102909492 125778268 161714916 188667402 283001103 377334804 566002206 1132004412