Search a number
-
+
1329111872 = 26114740169
BaseRepresentation
bin100111100111000…
…1010001101000000
310102121221212201122
41033032022031000
510210223034442
6335515251412
744636156504
oct11716121500
93377855648
101329111872
11622281470
12311149b68
1318248b93a
14c873c304
157ba40dd2
hex4f38a340

1329111872 has 56 divisors (see below), whose sum is σ = 2938515840. Its totient is φ = 591272960.

The previous prime is 1329111869. The next prime is 1329111877. The reversal of 1329111872 is 2781119231.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329111877) 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 7 ways as a sum of consecutive naturals, for example, 13004 + ... + 53172.

Almost surely, 21329111872 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 1329111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469257920).

1329111872 is an abundant number, since it is smaller than the sum of its proper divisors (1609403968).

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

1329111872 is a wasteful number, since it uses less digits than its factorization.

1329111872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40239 (or 40229 counting only the distinct ones).

The product of its digits is 6048, while the sum is 35.

The square root of 1329111872 is about 36456.9866006504. The cubic root of 1329111872 is about 1099.4796083957.

The spelling of 1329111872 in words is "one billion, three hundred twenty-nine million, one hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 176 188 352 376 517 704 752 1034 1504 2068 3008 4136 8272 16544 33088 40169 80338 160676 321352 441859 642704 883718 1285408 1767436 1887943 2570816 3534872 3775886 7069744 7551772 14139488 15103544 20767373 28278976 30207088 41534746 60414176 83069492 120828352 166138984 332277968 664555936 1329111872