Search a number
-
+
2145252340 = 225731128429
BaseRepresentation
bin111111111011101…
…1111001111110100
312112111200002222101
41333313133033310
513343141033330
6552512111444
7104106226000
oct17767371764
95474602871
102145252340
11a00a36920
124ba535584
132825a32aa
14164ca9700
15c85054ca
hex7fddf3f4

2145252340 has 96 divisors (see below), whose sum is σ = 5731488000. Its totient is φ = 668626560.

The previous prime is 2145252337. The next prime is 2145252367. The reversal of 2145252340 is 432525412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2145252299 and 2145252308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61246 + ... + 89674.

It is an arithmetic number, because the mean of its divisors is an integer number (59703000).

Almost surely, 22145252340 is an apocalyptic number.

2145252340 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 2145252340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865744000).

2145252340 is an abundant number, since it is smaller than the sum of its proper divisors (3586235660).

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

2145252340 is a wasteful number, since it uses less digits than its factorization.

2145252340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28470 (or 28454 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2145252340 is about 46316.8688492648. The cubic root of 2145252340 is about 1289.7121606050.

Adding to 2145252340 its reverse (432525412), we get a palindrome (2577777752).

The spelling of 2145252340 in words is "two billion, one hundred forty-five million, two hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 343 385 490 539 686 770 980 1078 1372 1540 1715 2156 2695 3430 3773 5390 6860 7546 10780 15092 18865 28429 37730 56858 75460 113716 142145 199003 284290 312719 398006 568580 625438 796012 995015 1250876 1393021 1563595 1990030 2189033 2786042 3127190 3980060 4378066 5572084 6254380 6965105 8756132 9751147 10945165 13930210 15323231 19502294 21890330 27860420 30646462 39004588 43780660 48755735 61292924 76616155 97511470 107262617 153232310 195022940 214525234 306464620 429050468 536313085 1072626170 2145252340