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2105425420 = 2257671931163
BaseRepresentation
bin111110101111110…
…0011111000001100
312102201201200201021
41331133203320030
513302442103140
6544530323524
7103113551350
oct17537437014
95381650637
102105425420
1199050430a
124a91295a4
1327726a477
1415d89d460
15c4c89b4a
hex7d7e3e0c

2105425420 has 96 divisors (see below), whose sum is σ = 5159443968. Its totient is φ = 706793472.

The previous prime is 2105425403. The next prime is 2105425423. The reversal of 2105425420 is 245245012.

2105425420 = T321 + T322 + ... + T2330.

It is not an unprimeable number, because it can be changed into a prime (2105425423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1809759 + ... + 1810921.

It is an arithmetic number, because the mean of its divisors is an integer number (53744208).

Almost surely, 22105425420 is an apocalyptic number.

2105425420 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 2105425420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579721984).

2105425420 is an abundant number, since it is smaller than the sum of its proper divisors (3054018548).

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

2105425420 is a wasteful number, since it uses less digits than its factorization.

2105425420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2105425420 is about 45884.9149503407. The cubic root of 2105425420 is about 1281.6810229555.

The spelling of 2105425420 in words is "two billion, one hundred five million, four hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 193 268 335 386 469 670 772 938 965 1163 1340 1351 1876 1930 2326 2345 2702 3860 4652 4690 5404 5815 6755 8141 9380 11630 12931 13510 16282 23260 25862 27020 32564 40705 51724 64655 77921 81410 90517 129310 155842 162820 181034 224459 258620 311684 362068 389605 448918 452585 545447 779210 897836 905170 1090894 1122295 1558420 1571213 1810340 2181788 2244590 2727235 3142426 4489180 5454470 6284852 7856065 10908940 15038753 15712130 30077506 31424260 60155012 75193765 105271271 150387530 210542542 300775060 421085084 526356355 1052712710 2105425420