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2010424340 = 2254183109271
BaseRepresentation
bin111011111010100…
…1010010000010100
312012002222010201202
41313311022100110
513104132034330
6531254212032
7100551216311
oct16765122024
95162863652
102010424340
11941917621
12481354018
13260687102
1415100dd08
15bb771445
hex77d4a414

2010424340 has 96 divisors (see below), whose sum is σ = 4433425920. Its totient is φ = 765158400.

The previous prime is 2010424321. The next prime is 2010424373. The reversal of 2010424340 is 434240102.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 7418405 + ... + 7418675.

It is an arithmetic number, because the mean of its divisors is an integer number (46181520).

Almost surely, 22010424340 is an apocalyptic number.

2010424340 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 2010424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216712960).

2010424340 is an abundant number, since it is smaller than the sum of its proper divisors (2423001580).

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

2010424340 is a wasteful number, since it uses less digits than its factorization.

2010424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2010424340 is about 44837.7557422313. The cubic root of 2010424340 is about 1262.1062320001.

Adding to 2010424340 its reverse (434240102), we get a palindrome (2444664442).

It can be divided in two parts, 20104 and 24340, that added together give a palindrome (44444).

The spelling of 2010424340 in words is "two billion, ten million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 83 109 164 166 205 218 271 332 410 415 436 542 545 820 830 1084 1090 1355 1660 2180 2710 3403 4469 5420 6806 8938 9047 11111 13612 17015 17876 18094 22222 22345 22493 29539 34030 36188 44444 44690 44986 45235 55555 59078 68060 89380 89972 90470 111110 112465 118156 147695 180940 222220 224930 295390 370927 449860 590780 741854 922213 1211099 1483708 1844426 1854635 2422198 2451737 3688852 3709270 4611065 4844396 4903474 6055495 7418540 9222130 9806948 12110990 12258685 18444260 24221980 24517370 49034740 100521217 201042434 402084868 502606085 1005212170 2010424340