Search a number
-
+
2026200960 = 27335722393
BaseRepresentation
bin111100011000101…
…0101111110000000
312020012122200012000
41320301111332000
513122201412320
6533020304000
7101132265300
oct17061257600
95205580160
102026200960
1194a812853
124866a2000
13263a1c0a4
14153159600
15bcd3ac90
hex78c55f80

2026200960 has 384 divisors, whose sum is σ = 8351229600. Its totient is φ = 462938112.

The previous prime is 2026200959. The next prime is 2026200961. The reversal of 2026200960 is 690026202.

It is an interprime number because it is at equal distance from previous prime (2026200959) and next prime (2026200961).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026200961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845524 + ... + 847916.

Almost surely, 22026200960 is an apocalyptic number.

2026200960 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 2026200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175614800).

2026200960 is an abundant number, since it is smaller than the sum of its proper divisors (6325028640).

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

2026200960 is a wasteful number, since it uses less digits than its factorization.

2026200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2026200960 is about 45013.3420221161. The cubic root of 2026200960 is about 1265.3990544254.

The spelling of 2026200960 in words is "two billion, twenty-six million, two hundred thousand, nine hundred sixty".