Search a number
-
+
1323052056 = 233471149193
BaseRepresentation
bin100111011011100…
…0010110000011000
310102012120000020000
41032313002300120
510202200131211
6335141333000
744533520424
oct11667026030
93365500200
101323052056
11619912657
1230b107160
13181149651
14c7a01b84
157b245656
hex4edc2c18

1323052056 has 160 divisors (see below), whose sum is σ = 3802788000. Its totient is φ = 429649920.

The previous prime is 1323051973. The next prime is 1323052057. The reversal of 1323052056 is 6502503231.

1323052056 is a `hidden beast` number, since 132 + 3 + 0 + 520 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323052057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6855096 + ... + 6855288.

It is an arithmetic number, because the mean of its divisors is an integer number (23767425).

Almost surely, 21323052056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323052056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901394000).

1323052056 is an abundant number, since it is smaller than the sum of its proper divisors (2479735944).

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

1323052056 is a wasteful number, since it uses less digits than its factorization.

1323052056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1323052056 is about 36373.7825363269. The cubic root of 1323052056 is about 1097.8061110658.

Adding to 1323052056 its reverse (6502503231), we get a palindrome (7825555287).

The spelling of 1323052056 in words is "one billion, three hundred twenty-three million, fifty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 149 162 193 213 216 284 298 324 386 426 447 568 579 596 639 648 772 852 894 1158 1192 1278 1341 1544 1704 1737 1788 1917 2316 2556 2682 3474 3576 3834 4023 4632 5112 5211 5364 5751 6948 7668 8046 10422 10579 10728 11502 12069 13703 13896 15336 15633 16092 20844 21158 23004 24138 27406 28757 31266 31737 32184 41109 41688 42316 46008 48276 54812 57514 62532 63474 82218 84632 86271 95211 96552 109624 115028 123327 125064 126948 164436 172542 190422 230056 246654 253896 258813 285633 328872 345084 369981 380844 493308 517626 571266 690168 739962 761688 776439 856899 986616 1035252 1109943 1142532 1479924 1552878 1713798 2041747 2070504 2219886 2285064 2329317 2959848 3105756 3427596 4083494 4439772 4658634 6125241 6211512 6855192 8166988 8879544 9317268 12250482 16333976 18375723 18634536 24500964 36751446 49001928 55127169 73502892 110254338 147005784 165381507 220508676 330763014 441017352 661526028 1323052056