Search a number
-
+
1320303132 = 2233234347263
BaseRepresentation
bin100111010110010…
…0011101000011100
310102000101100102000
41032230203220130
510200444200012
6335002402300
744501251161
oct11654435034
93360340360
101320303132
11618305315
1230a200390
131806c6375
14c74c8068
157ada0ddc
hex4eb23a1c

1320303132 has 192 divisors, whose sum is σ = 3746856960. Its totient is φ = 400897728.

The previous prime is 1320303119. The next prime is 1320303137. The reversal of 1320303132 is 2313030231.

1320303132 is a `hidden beast` number, since 1 + 320 + 30 + 313 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320303137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5020033 + ... + 5020295.

It is an arithmetic number, because the mean of its divisors is an integer number (19514880).

Almost surely, 21320303132 is an apocalyptic number.

1320303132 is a gapful number since it is divisible by the number (12) 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 1320303132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873428480).

1320303132 is an abundant number, since it is smaller than the sum of its proper divisors (2426553828).

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

1320303132 is a wasteful number, since it uses less digits than its factorization.

1320303132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

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

The square root of 1320303132 is about 36335.9757265441. The cubic root of 1320303132 is about 1097.0452747858.

Adding to 1320303132 its reverse (2313030231), we get a palindrome (3633333363).

The spelling of 1320303132 in words is "one billion, three hundred twenty million, three hundred three thousand, one hundred thirty-two".