Search a number
-
+
1132435164 = 2237149173523
BaseRepresentation
bin100001101111111…
…1001011011011100
32220220212200000010
41003133321123130
54304400411124
6304212003220
740030353150
oct10337713334
92826780003
101132435164
11531259333
12277300510
131507c91a3
14aa583060
1569641529
hex437f96dc

1132435164 has 96 divisors (see below), whose sum is σ = 3063513600. Its totient is φ = 318912768.

The previous prime is 1132435163. The next prime is 1132435189. The reversal of 1132435164 is 4615342311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132435163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2165007 + ... + 2165529.

It is an arithmetic number, because the mean of its divisors is an integer number (31911600).

Almost surely, 21132435164 is an apocalyptic number.

1132435164 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 1132435164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531756800).

1132435164 is an abundant number, since it is smaller than the sum of its proper divisors (1931078436).

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

1132435164 is a wasteful number, since it uses less digits than its factorization.

1132435164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 1132435164 is about 33651.6740148243. The cubic root of 1132435164 is about 1042.3281067335.

Adding to 1132435164 its reverse (4615342311), we get a palindrome (5747777475).

The spelling of 1132435164 in words is "one billion, one hundred thirty-two million, four hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 173 298 346 447 519 523 596 692 894 1038 1043 1046 1211 1569 1788 2076 2086 2092 2422 3129 3138 3633 3661 4172 4844 6258 6276 7266 7322 10983 12516 14532 14644 21966 25777 43932 51554 77331 77927 90479 103108 154662 155854 180439 180958 233781 271437 309324 311708 360878 361916 467562 541317 542874 545489 633353 721756 935124 1082634 1085748 1090978 1266706 1636467 1900059 2165268 2181956 2533412 3272934 3800118 6545868 7600236 13481371 26962742 40444113 53925484 80888226 94369597 161776452 188739194 283108791 377478388 566217582 1132435164