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2105235426 = 2371797113269
BaseRepresentation
bin111110101111011…
…0101011111100010
312102201101001002110
41331132311133202
513302420013201
6544522300150
7103112130420
oct17536653742
95381331073
102105235426
11990394598
124a9057656
13277201b48
1415d850110
15c4c4d6d6
hex7d7b57e2

2105235426 has 128 divisors (see below), whose sum is σ = 5212408320. Its totient is φ = 553254912.

The previous prime is 2105235401. The next prime is 2105235427. The reversal of 2105235426 is 6245325012.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2105235393 and 2105235402.

It is not an unprimeable number, because it can be changed into a prime (2105235427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7826020 + ... + 7826288.

It is an arithmetic number, because the mean of its divisors is an integer number (40721940).

Almost surely, 22105235426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105235426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606204160).

2105235426 is an abundant number, since it is smaller than the sum of its proper divisors (3107172894).

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

2105235426 is a wasteful number, since it uses less digits than its factorization.

2105235426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2105235426 is about 45882.8445718005. The cubic root of 2105235426 is about 1281.6424687474.

The spelling of 2105235426 in words is "two billion, one hundred five million, two hundred thirty-five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 97 102 113 119 194 226 238 269 291 339 357 538 582 678 679 714 791 807 1358 1582 1614 1649 1883 1921 2037 2373 3298 3766 3842 4074 4573 4746 4947 5649 5763 9146 9894 10961 11298 11526 11543 13447 13719 21922 23086 26093 26894 27438 30397 32011 32883 34629 40341 52186 60794 64022 65766 69258 76727 78279 80682 91191 96033 153454 156558 182382 182651 186337 192066 212779 230181 365302 372674 425558 443581 460362 516749 547953 559011 638337 887162 1033498 1095906 1118022 1276674 1304359 1330743 1550247 2608718 2661486 2948509 3100494 3105067 3617243 3913077 5897018 6210134 7234486 7826154 8845527 9315201 10851729 17691054 18630402 20639563 21703458 41279126 50124653 61918689 100249306 123837378 150373959 300747918 350872571 701745142 1052617713 2105235426