Search a number
-
+
2140404300 = 2232523176717
BaseRepresentation
bin111111110010011…
…1111101001001100
312112011112210201100
41333210333221030
513340420414200
6552220143100
7104020064526
oct17744775114
95464483640
102140404300
119a9225481
124b8997a90
13281596728
141643a6a16
15c7d98d00
hex7f93fa4c

2140404300 has 108 divisors (see below), whose sum is σ = 6925487296. Its totient is φ = 552355200.

The previous prime is 2140404289. The next prime is 2140404317. The reversal of 2140404300 is 34040412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10459 + ... + 66258.

Almost surely, 22140404300 is an apocalyptic number.

2140404300 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 2140404300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462743648).

2140404300 is an abundant number, since it is smaller than the sum of its proper divisors (4785082996).

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

2140404300 is a wasteful number, since it uses less digits than its factorization.

2140404300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76768 (or 76758 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2140404300 is about 46264.5036718217. The cubic root of 2140404300 is about 1288.7398908167.

Adding to 2140404300 its reverse (34040412), we get a palindrome (2174444712).

The spelling of 2140404300 in words is "two billion, one hundred forty million, four hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 558 620 775 900 930 1116 1395 1550 1860 2325 2790 3100 4650 5580 6975 9300 13950 27900 76717 153434 230151 306868 383585 460302 690453 767170 920604 1150755 1380906 1534340 1917925 2301510 2378227 2761812 3452265 3835850 4603020 4756454 5753775 6904530 7134681 7671700 9512908 11507550 11891135 13809060 14269362 17261325 21404043 23015100 23782270 28538724 34522650 35673405 42808086 47564540 59455675 69045300 71346810 85616172 107020215 118911350 142693620 178367025 214040430 237822700 356734050 428080860 535101075 713468100 1070202150 2140404300