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1330142526 = 233173739161
BaseRepresentation
bin100111101001000…
…0101110100111110
310102200220020112000
41033102011310332
510211004030101
6335553323130
744651011356
oct11722056476
93380806460
101330142526
11622915849
123115664a6
1318275caab
14c8929b66
157bb96486
hex4f485d3e

1330142526 has 64 divisors (see below), whose sum is σ = 3214416960. Its totient is φ = 406010880.

The previous prime is 1330142503. The next prime is 1330142581. The reversal of 1330142526 is 6252410331.

1330142526 is a `hidden beast` number, since 133 + 0 + 1 + 4 + 2 + 526 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1330142526.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14386 + ... + 53546.

It is an arithmetic number, because the mean of its divisors is an integer number (50225265).

Almost surely, 21330142526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330142526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607208480).

1330142526 is an abundant number, since it is smaller than the sum of its proper divisors (1884274434).

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

1330142526 is a wasteful number, since it uses less digits than its factorization.

1330142526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39226 (or 39220 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1330142526 is about 36471.1190670097. The cubic root of 1330142526 is about 1099.7637305224.

Adding to 1330142526 its reverse (6252410331), we get a palindrome (7582552857).

The spelling of 1330142526 in words is "one billion, three hundred thirty million, one hundred forty-two thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 111 153 222 306 333 459 629 666 918 999 1258 1887 1998 3774 5661 11322 16983 33966 39161 78322 117483 234966 352449 665737 704898 1057347 1331474 1448957 1997211 2114694 2897914 3994422 4346871 5991633 8693742 11983266 13040613 17974899 24632269 26081226 35949798 39121839 49264538 73896807 78243678 147793614 221690421 443380842 665071263 1330142526