Search a number
-
+
1332467136 = 2632711132311
BaseRepresentation
bin100111101101011…
…1101010111000000
310102212021100021200
41033122331113000
510212102422021
6340115221200
745006532560
oct11732752700
93385240250
101332467136
11624163310
123122a7800
13183094bc0
14c8d72da0
157bea5126
hex4f6bd5c0

1332467136 has 336 divisors, whose sum is σ = 5130198528. Its totient is φ = 319334400.

The previous prime is 1332467113. The next prime is 1332467137. The reversal of 1332467136 is 6317642331.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1332467136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332467137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 575421 + ... + 577731.

It is an arithmetic number, because the mean of its divisors is an integer number (15268448).

Almost surely, 21332467136 is an apocalyptic number.

1332467136 is a gapful number since it is divisible by the number (16) 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 1332467136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565099264).

1332467136 is an abundant number, since it is smaller than the sum of its proper divisors (3797731392).

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

1332467136 is a wasteful number, since it uses less digits than its factorization.

1332467136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2347 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 1332467136 is about 36502.9743445654. The cubic root of 1332467136 is about 1100.4040212850.

The spelling of 1332467136 in words is "one billion, three hundred thirty-two million, four hundred sixty-seven thousand, one hundred thirty-six".