Search a number
-
+
1332300040 = 235271312277
BaseRepresentation
bin100111101101001…
…0100100100001000
310102211221212001221
41033122110210020
510212032100130
6340111451424
745005235451
oct11732244410
93384855057
101332300040
11624059815
12312226b74
13183036b26
14c8d2c128
157be7087a
hex4f694908

1332300040 has 32 divisors (see below), whose sum is σ = 2999024280. Its totient is φ = 532680192.

The previous prime is 1332300017. The next prime is 1332300059. The reversal of 1332300040 is 400032331.

It can be written as a sum of positive squares in 4 ways, for example, as 1154504484 + 177795556 = 33978^2 + 13334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1332299987 and 1332300023.

It is an unprimeable number.

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, 102382 + ... + 114658.

Almost surely, 21332300040 is an apocalyptic number.

1332300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332300040 is an abundant number, since it is smaller than the sum of its proper divisors (1666724240).

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

1332300040 is a wasteful number, since it uses less digits than its factorization.

1332300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15001 (or 14997 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1332300040 is about 36500.6854730154. The cubic root of 1332300040 is about 1100.3580212019.

Adding to 1332300040 its reverse (400032331), we get a palindrome (1732332371).

The spelling of 1332300040 in words is "one billion, three hundred thirty-two million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 2713 5426 10852 12277 13565 21704 24554 27130 49108 54260 61385 98216 108520 122770 245540 491080 33307501 66615002 133230004 166537505 266460008 333075010 666150020 1332300040