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2105054120 = 23513101149269
BaseRepresentation
bin111110101111000…
…1001001110101000
312102201000211101102
41331132021032220
513302343212440
6544514340532
7103110444011
oct17536111650
95381024342
102105054120
11990280354
124a8b8a748
1327716a470
1415d804008
15c4c14b15
hex7d7893a8

2105054120 has 128 divisors (see below), whose sum is σ = 5205060000. Its totient is φ = 761548800.

The previous prime is 2105054113. The next prime is 2105054153. The reversal of 2105054120 is 214505012.

It can be written as a sum of positive squares in 16 ways, for example, as 7963684 + 2097090436 = 2822^2 + 45794^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2105054092 and 2105054101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7825346 + ... + 7825614.

Almost surely, 22105054120 is an apocalyptic number.

2105054120 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 2105054120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602530000).

2105054120 is an abundant number, since it is smaller than the sum of its proper divisors (3100005880).

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

2105054120 is a wasteful number, since it uses less digits than its factorization.

2105054120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

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

The square root of 2105054120 is about 45880.8687799174. The cubic root of 2105054120 is about 1281.6056753739.

Adding to 2105054120 its reverse (214505012), we get a palindrome (2319559132).

The spelling of 2105054120 in words is "two billion, one hundred five million, fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 149 202 260 269 298 404 505 520 538 596 745 808 1010 1076 1192 1313 1345 1490 1937 2020 2152 2626 2690 2980 3497 3874 4040 5252 5380 5960 6565 6994 7748 9685 10504 10760 13130 13988 15049 15496 17485 19370 26260 27169 27976 30098 34970 38740 40081 52520 54338 60196 69940 75245 77480 80162 108676 120392 135845 139880 150490 160324 195637 200405 217352 271690 300980 320648 353197 391274 400810 521053 543380 601960 706394 782548 801620 978185 1042106 1086760 1412788 1565096 1603240 1765985 1956370 2084212 2605265 2825576 3531970 3912740 4048181 4168424 5210530 7063940 7825480 8096362 10421060 14127880 16192724 20240905 20842120 32385448 40481810 52626353 80963620 105252706 161927240 210505412 263131765 421010824 526263530 1052527060 2105054120