Search a number
-
+
2868156000 = 25335326557
BaseRepresentation
bin1010101011110100…
…1001011001100000
321101212221102101000
42222331021121200
521333221443000
61152334312000
7131034631563
oct25275113140
97355842330
102868156000
111241aaa066
12680658600
133692a1638
141d2cc64da
1511bbee000
hexaaf49660

2868156000 has 192 divisors, whose sum is σ = 10440480960. Its totient is φ = 764812800.

The previous prime is 2868155993. The next prime is 2868156007. The reversal of 2868156000 is 6518682.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2868155993) and next prime (2868156007).

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

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2868156007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94722 + ... + 121278.

It is an arithmetic number, because the mean of its divisors is an integer number (54377505).

Almost surely, 22868156000 is an apocalyptic number.

2868156000 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 2868156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220240480).

2868156000 is an abundant number, since it is smaller than the sum of its proper divisors (7572324960).

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

2868156000 is a wasteful number, since it uses less digits than its factorization.

2868156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26591 (or 26567 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2868156000 is about 53555.1678178680. The cubic root of 2868156000 is about 1420.8042788859.

It can be divided in two parts, 28681 and 56000, that added together give a square (84681 = 2912).

The spelling of 2868156000 in words is "two billion, eight hundred sixty-eight million, one hundred fifty-six thousand".