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2105681232 = 243192137887
BaseRepresentation
bin111110110000010…
…0010010101010000
312102202012200121210
41331200202111100
513303023244412
6544540020120
7103115665224
oct17540422520
95382180553
102105681232
11990669526
124a9231640
13277329a35
1415d928784
15c4cda83c
hex7d822550

2105681232 has 120 divisors (see below), whose sum is σ = 5789468736. Its totient is φ = 659354112.

The previous prime is 2105681203. The next prime is 2105681273. The reversal of 2105681232 is 2321865012.

It is a self number, because there is not a number n which added to its sum of digits gives 2105681232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2373493 + ... + 2374379.

Almost surely, 22105681232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105681232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894734368).

2105681232 is an abundant number, since it is smaller than the sum of its proper divisors (3683787504).

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

2105681232 is a wasteful number, since it uses less digits than its factorization.

2105681232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2105681232 is about 45887.7024048928. The cubic root of 2105681232 is about 1281.7329295053.

The spelling of 2105681232 in words is "two billion, one hundred five million, six hundred eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 137 152 228 274 304 361 411 456 548 722 822 887 912 1083 1096 1444 1644 1774 2166 2192 2603 2661 2888 3288 3548 4332 5206 5322 5776 6576 7096 7809 8664 10412 10644 14192 15618 16853 17328 20824 21288 31236 33706 41648 42576 49457 50559 62472 67412 98914 101118 121519 124944 134824 148371 197828 202236 243038 269648 296742 320207 364557 395656 404472 486076 593484 640414 729114 791312 808944 960621 972152 1186968 1280828 1458228 1921242 1944304 2308861 2373936 2561656 2916456 3842484 4617722 5123312 5832912 6926583 7684968 9235444 13853166 15369936 18470888 27706332 36941776 43868359 55412664 87736718 110825328 131605077 175473436 263210154 350946872 526420308 701893744 1052840616 2105681232