Search a number
-
+
1331604756 = 2232145325457
BaseRepresentation
bin100111101011110…
…1010110100010100
310102210122112022200
41033113222310110
510211342323011
6340044524500
744666311416
oct11727526424
93383575280
101331604756
116237243a9
12311b50730
13182b52511
14c8bca9b6
157bd84856
hex4f5ead14

1331604756 has 36 divisors (see below), whose sum is σ = 3368449812. Its totient is φ = 443545344.

The previous prime is 1331604749. The next prime is 1331604761. The reversal of 1331604756 is 6574061331.

1331604756 is a `hidden beast` number, since 13 + 31 + 604 + 7 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 661312656 + 670292100 = 25716^2 + 25890^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1331604756.

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 11 ways as a sum of consecutive naturals, for example, 39580 + ... + 65036.

Almost surely, 21331604756 is an apocalyptic number.

It is an amenable number.

1331604756 is an abundant number, since it is smaller than the sum of its proper divisors (2036845056).

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

1331604756 is a wasteful number, since it uses less digits than its factorization.

1331604756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26920 (or 26915 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1331604756 is about 36491.1599706011. The cubic root of 1331604756 is about 1100.1665742232.

The spelling of 1331604756 in words is "one billion, three hundred thirty-one million, six hundred four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1453 2906 4359 5812 8718 13077 17436 25457 26154 50914 52308 76371 101828 152742 229113 305484 458226 916452 36989021 73978042 110967063 147956084 221934126 332901189 443868252 665802378 1331604756