Search a number
-
+
6028364160 = 2732572133153
BaseRepresentation
bin1011001110101000…
…11000100110000000
3120120010102121222200
411213110120212000
544321230123120
62434104433200
7302250151500
oct54724304600
916503377880
106028364160
112613944245
121202a78800
13750c1a2b0
144128b3a00
1525438be90
hex167518980

6028364160 has 1152 divisors, whose sum is σ = 27427196160. Its totient is φ = 1207664640.

The previous prime is 6028364143. The next prime is 6028364161. The reversal of 6028364160 is 614638206.

6028364160 is a `hidden beast` number, since 6 + 0 + 2 + 8 + 3 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6028364161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113742694 + ... + 113742746.

It is an arithmetic number, because the mean of its divisors is an integer number (23808330).

Almost surely, 26028364160 is an apocalyptic number.

6028364160 is a gapful number since it is divisible by the number (60) 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 6028364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713598080).

6028364160 is an abundant number, since it is smaller than the sum of its proper divisors (21398832000).

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

6028364160 is a wasteful number, since it uses less digits than its factorization.

6028364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6028364160 is about 77642.5409166908. The cubic root of 6028364160 is about 1819.9794869483.

The spelling of 6028364160 in words is "six billion, twenty-eight million, three hundred sixty-four thousand, one hundred sixty".