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2120014410 = 235172439557
BaseRepresentation
bin111111001011100…
…1101101001001010
312110202011220001020
41332113031221022
513320210430120
6550211133310
7103351553013
oct17627155112
95422156036
102120014410
11998769228
124b1ba4236
1327a2a79c7
141617ba00a
15c61bc640
hex7e5cda4a

2120014410 has 96 divisors (see below), whose sum is σ = 5426974080. Its totient is φ = 529916928.

The previous prime is 2120014387. The next prime is 2120014439. The reversal of 2120014410 is 144100212.

It is a super-2 number, since 2×21200144102 = 8988922197215296200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2120014410.

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, 3805852 + ... + 3806408.

It is an arithmetic number, because the mean of its divisors is an integer number (56530980).

Almost surely, 22120014410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120014410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713487040).

2120014410 is an abundant number, since it is smaller than the sum of its proper divisors (3306959670).

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

2120014410 is a wasteful number, since it uses less digits than its factorization.

2120014410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2120014410 is about 46043.6142152199. The cubic root of 2120014410 is about 1284.6345683257.

Adding to 2120014410 its reverse (144100212), we get a palindrome (2264114622).

The spelling of 2120014410 in words is "two billion, one hundred twenty million, fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 439 510 557 578 867 878 1114 1317 1445 1671 1734 2195 2634 2785 2890 3342 4335 4390 5570 6585 7463 8355 8670 9469 13170 14926 16710 18938 22389 28407 37315 44778 47345 56814 74630 94690 111945 126871 142035 160973 223890 244523 253742 284070 321946 380613 482919 489046 634355 733569 761226 804865 965838 1222615 1268710 1467138 1609730 1903065 2414595 2445230 3667845 3806130 4156891 4829190 7335690 8313782 12470673 20784455 24941346 41568910 62353365 70667147 124706730 141334294 212001441 353335735 424002882 706671470 1060007205 2120014410