Search a number
-
+
1332132000 = 25353313581
BaseRepresentation
bin100111101100110…
…1011100010100000
310102211122022120020
41033121223202200
510212011211000
6340104113440
745003635523
oct11731534240
93384568506
101332132000
11623a54541
12312165880
13182ca84b4
14c8cc6bba
157be3aba0
hex4f66b8a0

1332132000 has 192 divisors, whose sum is σ = 4506098688. Its totient is φ = 343680000.

The previous prime is 1332131993. The next prime is 1332132013. The reversal of 1332132000 is 2312331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370210 + ... + 373790.

It is an arithmetic number, because the mean of its divisors is an integer number (23469264).

Almost surely, 21332132000 is an apocalyptic number.

1332132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253049344).

1332132000 is an abundant number, since it is smaller than the sum of its proper divisors (3173966688).

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

1332132000 is a wasteful number, since it uses less digits than its factorization.

1332132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1332132000 is about 36498.3835258495. The cubic root of 1332132000 is about 1100.3117573647.

Adding to 1332132000 its reverse (2312331), we get a palindrome (1334444331).

The spelling of 1332132000 in words is "one billion, three hundred thirty-two million, one hundred thirty-two thousand".