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2114020520 = 235474312609
BaseRepresentation
bin111111000000001…
…0110010010101000
312110022220100222022
41332000112102220
513312142124040
6545434444012
7103246610063
oct17600262250
95408810868
102114020520
119953449a7
124abb93608
13278c89721
14160a998da
15c58d66b5
hex7e0164a8

2114020520 has 64 divisors (see below), whose sum is σ = 4870886400. Its totient is φ = 825379840.

The previous prime is 2114020501. The next prime is 2114020547. The reversal of 2114020520 is 250204112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 808976 + ... + 811584.

It is an arithmetic number, because the mean of its divisors is an integer number (76107600).

Almost surely, 22114020520 is an apocalyptic number.

2114020520 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 2114020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435443200).

2114020520 is an abundant number, since it is smaller than the sum of its proper divisors (2756865880).

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

2114020520 is a wasteful number, since it uses less digits than its factorization.

2114020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2114020520 is about 45978.4788787102. The cubic root of 2114020520 is about 1283.4227485159.

Adding to 2114020520 its reverse (250204112), we get a palindrome (2364224632).

The spelling of 2114020520 in words is "two billion, one hundred fourteen million, twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 431 470 862 940 1724 1880 2155 2609 3448 4310 5218 8620 10436 13045 17240 20257 20872 26090 40514 52180 81028 101285 104360 122623 162056 202570 245246 405140 490492 613115 810280 980984 1124479 1226230 2248958 2452460 4497916 4904920 5622395 8995832 11244790 22489580 44979160 52850513 105701026 211402052 264252565 422804104 528505130 1057010260 2114020520