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1330132032 = 26322309257
BaseRepresentation
bin100111101001000…
…0011010001000000
310102200212201010100
41033102003101000
510211003211112
6335553202400
744650635645
oct11722032100
93380781110
101330132032
11622908979
12311560400
13182758098
14c8925dcc
157bb932dc
hex4f483440

1330132032 has 42 divisors (see below), whose sum is σ = 3812584958. Its totient is φ = 443377152.

The previous prime is 1330131991. The next prime is 1330132057. The reversal of 1330132032 is 2302310331.

1330132032 is a `hidden beast` number, since 13 + 301 + 320 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 927567936 + 402564096 = 30456^2 + 20064^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1330131996 and 1330132014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1154053 + ... + 1155204.

Almost surely, 21330132032 is an apocalyptic number.

1330132032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1330132032 is an abundant number, since it is smaller than the sum of its proper divisors (2482452926).

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

1330132032 is a wasteful number, since it uses less digits than its factorization.

1330132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309275 (or 2309262 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1330132032 is about 36470.9751994651. The cubic root of 1330132032 is about 1099.7608383635.

Adding to 1330132032 its reverse (2302310331), we get a palindrome (3632442363).

The spelling of 1330132032 in words is "one billion, three hundred thirty million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2309257 4618514 6927771 9237028 13855542 18474056 20783313 27711084 36948112 41566626 55422168 73896224 83133252 110844336 147792448 166266504 221688672 332533008 443377344 665066016 1330132032