Search a number
-
+
2158043580 = 22335711174371
BaseRepresentation
bin1000000010100001…
…0010000110111100
312120101201222021000
42000220102012330
513404424343310
6554050210300
7104323032150
oct20050220674
95511658230
102158043580
11a081830a0
12502883990
13285131484
14166879060
15c96d04c0
hex80a121bc

2158043580 has 768 divisors, whose sum is σ = 9196830720. Its totient is φ = 406425600.

The previous prime is 2158043561. The next prime is 2158043627. The reversal of 2158043580 is 853408512.

It is a happy number.

2158043580 is a `hidden beast` number, since 21 + 58 + 0 + 4 + 3 + 580 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 30394945 + ... + 30395015.

It is an arithmetic number, because the mean of its divisors is an integer number (11975040).

Almost surely, 22158043580 is an apocalyptic number.

2158043580 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 2158043580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598415360).

2158043580 is an abundant number, since it is smaller than the sum of its proper divisors (7038787140).

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

2158043580 is a wasteful number, since it uses less digits than its factorization.

2158043580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2158043580 is about 46454.7476583395. The cubic root of 2158043580 is about 1292.2704202849.

The spelling of 2158043580 in words is "two billion, one hundred fifty-eight million, forty-three thousand, five hundred eighty".