Search a number
-
+
2139160320 = 283351117331
BaseRepresentation
bin111111110000000…
…1111111100000000
312112002012121022000
41333200033330000
513340111112240
6552133344000
7104003364003
oct17740177400
95462177260
102139160320
119a85558a0
124b8498000
1328124c44b
1416416153a
15c7c00430
hex7f80ff00

2139160320 has 576 divisors, whose sum is σ = 8794759680. Its totient is φ = 486604800.

The previous prime is 2139160297. The next prime is 2139160327. The reversal of 2139160320 is 230619312.

2139160320 is a `hidden beast` number, since 2 + 1 + 39 + 1 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139160327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6462555 + ... + 6462885.

It is an arithmetic number, because the mean of its divisors is an integer number (15268680).

Almost surely, 22139160320 is an apocalyptic number.

2139160320 is a gapful number since it is divisible by the number (20) 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 2139160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397379840).

2139160320 is an abundant number, since it is smaller than the sum of its proper divisors (6655599360).

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

2139160320 is a wasteful number, since it uses less digits than its factorization.

2139160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2139160320 is about 46251.0575014237. The cubic root of 2139160320 is about 1288.4901751701.

Adding to 2139160320 its reverse (230619312), we get a palindrome (2369779632).

The spelling of 2139160320 in words is "two billion, one hundred thirty-nine million, one hundred sixty thousand, three hundred twenty".