Search a number
-
+
1471242240 = 21332513307
BaseRepresentation
bin101011110110001…
…0110000000000000
310210112101211221100
41113230112000000
511003114222430
6401553454400
751313231656
oct12754260000
93715354840
101471242240
11695529086
12350871400
131a5a63850
14dd578dd6
1589268960
hex57b16000

1471242240 has 336 divisors, whose sum is σ = 5510192688. Its totient is φ = 360972288.

The previous prime is 1471242233. The next prime is 1471242293. The reversal of 1471242240 is 422421741.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4792167 + ... + 4792473.

It is an arithmetic number, because the mean of its divisors is an integer number (16399383).

Almost surely, 21471242240 is an apocalyptic number.

1471242240 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 1471242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755096344).

1471242240 is an abundant number, since it is smaller than the sum of its proper divisors (4038950448).

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

1471242240 is a wasteful number, since it uses less digits than its factorization.

1471242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 1471242240 is about 38356.7756726240. The cubic root of 1471242240 is about 1137.3515620014.

Adding to 1471242240 its reverse (422421741), we get a palindrome (1893663981).

The spelling of 1471242240 in words is "one billion, four hundred seventy-one million, two hundred forty-two thousand, two hundred forty".