Search a number
-
+
1831807104 = 27373101647
BaseRepresentation
bin110110100101111…
…0010100010000000
311201122212102221120
41231023302202000
512222420311404
6501433552240
763252050331
oct15513624200
94648772846
101831807104
11860009876
12431575680
1323267873a
141353d6288
15aac3c9d9
hex6d2f2880

1831807104 has 128 divisors (see below), whose sum is σ = 4988926080. Its totient is φ = 595353600.

The previous prime is 1831807097. The next prime is 1831807129. The reversal of 1831807104 is 4017081381.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 2830909 + ... + 2831555.

It is an arithmetic number, because the mean of its divisors is an integer number (38975985).

Almost surely, 21831807104 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 1831807104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494463040).

1831807104 is an abundant number, since it is smaller than the sum of its proper divisors (3157118976).

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

1831807104 is a wasteful number, since it uses less digits than its factorization.

1831807104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 1831807104 is about 42799.6156992093. The cubic root of 1831807104 is about 1223.5636874549.

Adding to 1831807104 its reverse (4017081381), we get a palindrome (5848888485).

The spelling of 1831807104 in words is "one billion, eight hundred thirty-one million, eight hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 101 128 146 192 202 219 292 303 384 404 438 584 606 647 808 876 1168 1212 1294 1616 1752 1941 2336 2424 2588 3232 3504 3882 4672 4848 5176 6464 7008 7373 7764 9344 9696 10352 12928 14016 14746 15528 19392 20704 22119 28032 29492 31056 38784 41408 44238 47231 58984 62112 65347 82816 88476 94462 117968 124224 130694 141693 176952 188924 196041 235936 248448 261388 283386 353904 377848 392082 471872 522776 566772 707808 755696 784164 943744 1045552 1133544 1415616 1511392 1568328 2091104 2267088 2831232 3022784 3136656 4182208 4534176 4770331 6045568 6273312 8364416 9068352 9540662 12546624 14310993 18136704 19081324 25093248 28621986 38162648 57243972 76325296 114487944 152650592 228975888 305301184 457951776 610602368 915903552 1831807104