Search a number
-
+
1215628128 = 253311139839
BaseRepresentation
bin100100001110101…
…0000001101100000
310010201102022022000
41020131100031200
54442200100003
6320343044000
742060445221
oct11035201540
93121368260
101215628128
11574210450
1229b140600
13164b069b0
14b763b248
1571ac61a3
hex48750360

1215628128 has 192 divisors, whose sum is σ = 4165862400. Its totient is φ = 340001280.

The previous prime is 1215628121. The next prime is 1215628157. The reversal of 1215628128 is 8218265121.

1215628128 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 628 + 1 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1215628092 and 1215628101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215628121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 118633 + ... + 128471.

It is an arithmetic number, because the mean of its divisors is an integer number (21697200).

Almost surely, 21215628128 is an apocalyptic number.

1215628128 is a gapful number since it is divisible by the number (18) 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 1215628128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082931200).

1215628128 is an abundant number, since it is smaller than the sum of its proper divisors (2950234272).

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

1215628128 is a wasteful number, since it uses less digits than its factorization.

1215628128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9882 (or 9868 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 1215628128 is about 34865.8590601178. The cubic root of 1215628128 is about 1067.2518431479.

The spelling of 1215628128 in words is "one billion, two hundred fifteen million, six hundred twenty-eight thousand, one hundred twenty-eight".