Search a number
-
+
2026386180 = 22335721343137
BaseRepresentation
bin111100011001000…
…0011001100000100
312020020000002021000
41320302003030010
513122223324210
6533024253300
7101133666300
oct17062031404
95206002230
102026386180
1194a929a25
12486771230
13263a854a0
141531a6d00
15bcd75ac0
hex78c83304

2026386180 has 576 divisors, whose sum is σ = 8140366080. Its totient is φ = 414554112.

The previous prime is 2026386169. The next prime is 2026386203. The reversal of 2026386180 is 816836202.

2026386180 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 38 + 618 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14791072 + ... + 14791208.

It is an arithmetic number, because the mean of its divisors is an integer number (14132580).

Almost surely, 22026386180 is an apocalyptic number.

2026386180 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 2026386180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070183040).

2026386180 is an abundant number, since it is smaller than the sum of its proper divisors (6113979900).

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

2026386180 is a wasteful number, since it uses less digits than its factorization.

2026386180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2026386180 is about 45015.3993651062. The cubic root of 2026386180 is about 1265.4376109945.

The spelling of 2026386180 in words is "two billion, twenty-six million, three hundred eighty-six thousand, one hundred eighty".