Search a number
-
+
2240057720 = 235535917909
BaseRepresentation
bin1000010110000100…
…1001000101111000
312210010001201111202
42011201021011320
514041423321340
61010140113332
7106340114345
oct20541110570
95703051452
102240057720
11a4a4aa57a
12526235848
13299118554
141737077cc
15d19d0c15
hex85849178

2240057720 has 64 divisors (see below), whose sum is σ = 5222556000. Its totient is φ = 864168448.

The previous prime is 2240057711. The next prime is 2240057747. The reversal of 2240057720 is 277500422.

2240057720 is a modest number, since divided by 57720 gives 2240 as remainder.

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, 116126 + ... + 134034.

Almost surely, 22240057720 is an apocalyptic number.

2240057720 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 2240057720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611278000).

2240057720 is an abundant number, since it is smaller than the sum of its proper divisors (2982498280).

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

2240057720 is a wasteful number, since it uses less digits than its factorization.

2240057720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18032 (or 18028 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 2240057720 is about 47329.2480396636. The cubic root of 2240057720 is about 1308.4377624282.

The spelling of 2240057720 in words is "two billion, two hundred forty million, fifty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 59 106 118 212 236 265 295 424 472 530 590 1060 1180 2120 2360 3127 6254 12508 15635 17909 25016 31270 35818 62540 71636 89545 125080 143272 179090 358180 716360 949177 1056631 1898354 2113262 3796708 4226524 4745885 5283155 7593416 8453048 9491770 10566310 18983540 21132620 37967080 42265240 56001443 112002886 224005772 280007215 448011544 560014430 1120028860 2240057720