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2105050260 = 2235296771787
BaseRepresentation
bin111110101111000…
…1000010010010100
312102201000122002110
41331132020102110
513302343102020
6544514311020
7103110426525
oct17536102224
95381018073
102105050260
11990278465
124a8b88470
13277168791
1415d80284c
15c4c138e0
hex7d788494

2105050260 has 96 divisors (see below), whose sum is σ = 6109810560. Its totient is φ = 540886528.

The previous prime is 2105050163. The next prime is 2105050267. The reversal of 2105050260 is 620505012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105050267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177087 + ... + 1178873.

It is an arithmetic number, because the mean of its divisors is an integer number (63643860).

Almost surely, 22105050260 is an apocalyptic number.

2105050260 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 2105050260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054905280).

2105050260 is an abundant number, since it is smaller than the sum of its proper divisors (4004760300).

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

2105050260 is a wasteful number, since it uses less digits than its factorization.

2105050260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2105050260 is about 45880.8267144349. The cubic root of 2105050260 is about 1281.6048920209.

Adding to 2105050260 its reverse (620505012), we get a palindrome (2725555272).

The spelling of 2105050260 in words is "two billion, one hundred five million, fifty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 677 870 1354 1740 1787 2031 2708 3385 3574 4062 5361 6770 7148 8124 8935 10155 10722 13540 17870 19633 20310 21444 26805 35740 39266 40620 51823 53610 58899 78532 98165 103646 107220 117798 155469 196330 207292 235596 259115 294495 310938 392660 518230 588990 621876 777345 1036460 1177980 1209799 1554690 2419598 3109380 3629397 4839196 6048995 7258794 12097990 14517588 18146985 24195980 35084171 36293970 70168342 72587940 105252513 140336684 175420855 210505026 350841710 421010052 526262565 701683420 1052525130 2105050260