Search a number
-
+
2027276000 = 25533116349
BaseRepresentation
bin111100011010101…
…1100011011100000
312020021200021212022
41320311130123200
513122440313000
6533055321012
7101144363441
oct17065343340
95207607768
102027276000
11950387512
12486b20168
132640074c9
141533592c8
15bce9e585
hex78d5c6e0

2027276000 has 96 divisors (see below), whose sum is σ = 5142009600. Its totient is φ = 784704000.

The previous prime is 2027275997. The next prime is 2027276021. The reversal of 2027276000 is 6727202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115826 + ... + 132174.

It is an arithmetic number, because the mean of its divisors is an integer number (53562600).

Almost surely, 22027276000 is an apocalyptic number.

2027276000 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 2027276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571004800).

2027276000 is an abundant number, since it is smaller than the sum of its proper divisors (3114733600).

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

2027276000 is a wasteful number, since it uses less digits than its factorization.

2027276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16405 (or 16387 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 2027276000 is about 45025.2817870138. The cubic root of 2027276000 is about 1265.6228088160.

The spelling of 2027276000 in words is "two billion, twenty-seven million, two hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 2000 2480 3100 3875 4000 4960 6200 7750 12400 15500 16349 24800 31000 32698 62000 65396 81745 124000 130792 163490 261584 326980 408725 506819 523168 653960 817450 1013638 1307920 1634900 2027276 2043625 2534095 2615840 3269800 4054552 4087250 5068190 6539600 8109104 8174500 10136380 12670475 13079200 16218208 16349000 20272760 25340950 32698000 40545520 50681900 63352375 65396000 81091040 101363800 126704750 202727600 253409500 405455200 506819000 1013638000 2027276000