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2052514100 = 2252713283797
BaseRepresentation
bin111101001010110…
…1110000100110100
312022001011112000202
41322111232010310
513200420422400
6535400300032
7101602040060
oct17225560464
95261145022
102052514100
1196365524a
12493471618
13269302bb0
14156848aa0
15c02d74d5
hex7a56e134

2052514100 has 144 divisors (see below), whose sum is σ = 5508064128. Its totient is φ = 646479360.

The previous prime is 2052514099. The next prime is 2052514129. The reversal of 2052514100 is 14152502.

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 47 ways as a sum of consecutive naturals, for example, 2574902 + ... + 2575698.

Almost surely, 22052514100 is an apocalyptic number.

2052514100 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 2052514100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754032064).

2052514100 is an abundant number, since it is smaller than the sum of its proper divisors (3455550028).

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

2052514100 is a wasteful number, since it uses less digits than its factorization.

2052514100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2052514100 is about 45304.6807736243. The cubic root of 2052514100 is about 1270.8531890714.

Adding to 2052514100 its reverse (14152502), we get a palindrome (2066666602).

The spelling of 2052514100 in words is "two billion, fifty-two million, five hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 283 325 350 364 455 566 650 700 797 910 1132 1300 1415 1594 1820 1981 2275 2830 3188 3679 3962 3985 4550 5579 5660 7075 7358 7924 7970 9100 9905 10361 11158 14150 14716 15940 18395 19810 19925 20722 22316 25753 27895 28300 36790 39620 39850 41444 49525 51506 51805 55790 72527 73580 79700 91975 99050 103012 103610 111580 128765 139475 145054 183950 198100 207220 225551 257530 259025 278950 290108 362635 367900 451102 515060 518050 557900 643825 725270 902204 1036100 1127755 1287650 1450540 1578857 1813175 2255510 2575300 2932163 3157714 3626350 4511020 5638775 5864326 6315428 7252700 7894285 11277550 11728652 14660815 15788570 20525141 22555100 29321630 31577140 39471425 41050282 58643260 73304075 78942850 82100564 102625705 146608150 157885700 205251410 293216300 410502820 513128525 1026257050 2052514100