Search a number
-
+
2133460728 = 233375379337
BaseRepresentation
bin111111100101010…
…0000011011111000
312111200111000221000
41333022200123320
513332131220403
6551411245000
7103604055060
oct17712403370
95450430830
102133460728
119a5312693
124b65a9760
132800050c9
141634ba3a0
15c74767a3
hex7f2a06f8

2133460728 has 256 divisors, whose sum is σ = 7008768000. Its totient is φ = 588736512.

The previous prime is 2133460717. The next prime is 2133460759. The reversal of 2133460728 is 8270643312.

It is a happy number.

2133460728 is a `hidden beast` number, since 2 + 13 + 34 + 607 + 2 + 8 = 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 = 2133460692 and 2133460701.

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 63 ways as a sum of consecutive naturals, for example, 6330576 + ... + 6330912.

It is an arithmetic number, because the mean of its divisors is an integer number (27378000).

Almost surely, 22133460728 is an apocalyptic number.

2133460728 is a gapful number since it is divisible by the number (28) 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 2133460728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504384000).

2133460728 is an abundant number, since it is smaller than the sum of its proper divisors (4875307272).

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

2133460728 is a wasteful number, since it uses less digits than its factorization.

2133460728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2133460728 is about 46189.4006023027. The cubic root of 2133460728 is about 1287.3448035888.

The spelling of 2133460728 in words is "two billion, one hundred thirty-three million, four hundred sixty thousand, seven hundred twenty-eight".