Search a number
-
+
2112030240 = 25357955697
BaseRepresentation
bin111110111100011…
…0000011000100000
312110012011020211020
41331320300120200
513311134431430
6545324045440
7103223650365
oct17570603040
95405136736
102112030240
11994205641
124ab393880
13278740848
141606dc46c
15c5641b10
hex7de30620

2112030240 has 96 divisors (see below), whose sum is σ = 6737230080. Its totient is φ = 556068864.

The previous prime is 2112030227. The next prime is 2112030247. The reversal of 2112030240 is 420302112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2112030247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10072 + ... + 65768.

It is an arithmetic number, because the mean of its divisors is an integer number (70179480).

Almost surely, 22112030240 is an apocalyptic number.

2112030240 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 2112030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368615040).

2112030240 is an abundant number, since it is smaller than the sum of its proper divisors (4625199840).

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

2112030240 is a wasteful number, since it uses less digits than its factorization.

2112030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55794 (or 55786 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2112030240 is about 45956.8301778963. The cubic root of 2112030240 is about 1283.0198554437.

Adding to 2112030240 its reverse (420302112), we get a palindrome (2532332352).

It can be divided in two parts, 21120 and 30240, that added together give a triangular number (51360 = T320).

The spelling of 2112030240 in words is "two billion, one hundred twelve million, thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 158 160 237 240 316 395 474 480 632 790 948 1185 1264 1580 1896 2370 2528 3160 3792 4740 6320 7584 9480 12640 18960 37920 55697 111394 167091 222788 278485 334182 445576 556970 668364 835455 891152 1113940 1336728 1670910 1782304 2227880 2673456 3341820 4400063 4455760 5346912 6683640 8800126 8911520 13200189 13367280 17600252 22000315 26400378 26734560 35200504 44000630 52800756 66000945 70401008 88001260 105601512 132001890 140802016 176002520 211203024 264003780 352005040 422406048 528007560 704010080 1056015120 2112030240