Search a number
-
+
1132665456 = 2431310317623
BaseRepresentation
bin100001110000011…
…0001101001110000
32220221022100220110
41003200301221300
54304430243311
6304220541320
740032332436
oct10340615160
92827270813
101132665456
115313a635a
122773b1840
13150879c60
14aa602d56
15696898a6
hex43831a70

1132665456 has 80 divisors (see below), whose sum is σ = 3181907456. Its totient is φ = 345109248.

The previous prime is 1132665439. The next prime is 1132665481. The reversal of 1132665456 is 6545662311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55461 + ... + 73083.

Almost surely, 21132665456 is an apocalyptic number.

1132665456 is a gapful number since it is divisible by the number (16) 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 1132665456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590953728).

1132665456 is an abundant number, since it is smaller than the sum of its proper divisors (2049242000).

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

1132665456 is a wasteful number, since it uses less digits than its factorization.

1132665456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17750 (or 17744 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 1132665456 is about 33655.0955428743. The cubic root of 1132665456 is about 1042.3987578879.

The spelling of 1132665456 in words is "one billion, one hundred thirty-two million, six hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 309 312 412 618 624 824 1236 1339 1648 2472 2678 4017 4944 5356 8034 10712 16068 17623 21424 32136 35246 52869 64272 70492 105738 140984 211476 229099 281968 422952 458198 687297 845904 916396 1374594 1815169 1832792 2749188 3630338 3665584 5445507 5498376 7260676 10891014 10996752 14521352 21782028 23597197 29042704 43564056 47194394 70791591 87128112 94388788 141583182 188777576 283166364 377555152 566332728 1132665456