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2041210304 = 26761113661
BaseRepresentation
bin111100110101010…
…0110010111000000
312021020220020010122
41321222212113000
513140022212204
6534314115412
7101404000310
oct17152462700
95236806118
102041210304
11958234571
1248b71bb68
13266b75a63
14155145440
15be3030be
hex79aa65c0

2041210304 has 112 divisors (see below), whose sum is σ = 4753880256. Its totient is φ = 851558400.

The previous prime is 2041210289. The next prime is 2041210307. The reversal of 2041210304 is 4030121402.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041210307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3087734 + ... + 3088394.

Almost surely, 22041210304 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 2041210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376940128).

2041210304 is an abundant number, since it is smaller than the sum of its proper divisors (2712669952).

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

2041210304 is a wasteful number, since it uses less digits than its factorization.

2041210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2041210304 is about 45179.7554663590. The cubic root of 2041210304 is about 1268.5159062586.

Adding to 2041210304 its reverse (4030121402), we get a palindrome (6071331706).

The spelling of 2041210304 in words is "two billion, forty-one million, two hundred ten thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 113 122 224 226 244 427 448 452 488 661 791 854 904 976 1322 1582 1708 1808 1952 2644 3164 3416 3616 3904 4627 5288 6328 6832 6893 7232 9254 10576 12656 13664 13786 18508 21152 25312 27328 27572 37016 40321 42304 48251 50624 55144 74032 74693 80642 96502 110288 148064 149386 161284 193004 220576 282247 296128 298772 322568 386008 441152 522851 564494 597544 645136 772016 1045702 1128988 1195088 1290272 1544032 2091404 2257976 2390176 2580544 3088064 4182808 4515952 4556273 4780352 8365616 9031904 9112546 16731232 18063808 18225092 31893911 33462464 36450184 63787822 72900368 127575644 145800736 255151288 291601472 510302576 1020605152 2041210304