Search a number
-
+
2000357104 = 24237983829
BaseRepresentation
bin111011100111011…
…0000011011110000
312011102000200002011
41313032300123300
513044042411404
6530254332304
7100366516624
oct16716603360
95142020064
102000357104
11937170999
12479aba094
1325b570a75
1414d94d184
15ba933604
hex773b06f0

2000357104 has 80 divisors (see below), whose sum is σ = 4149734400. Its totient is φ = 932076288.

The previous prime is 2000357017. The next prime is 2000357113. The reversal of 2000357104 is 4017530002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2412562 + ... + 2413390.

It is an arithmetic number, because the mean of its divisors is an integer number (51871680).

Almost surely, 22000357104 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 2000357104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074867200).

2000357104 is an abundant number, since it is smaller than the sum of its proper divisors (2149377296).

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

2000357104 is a wasteful number, since it uses less digits than its factorization.

2000357104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 2000357104 is about 44725.3519158877. The cubic root of 2000357104 is about 1259.9960325734.

Adding to 2000357104 its reverse (4017530002), we get a palindrome (6017887106).

The spelling of 2000357104 in words is "two billion, three hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 23 46 79 83 92 158 166 184 316 332 368 632 664 829 1264 1328 1658 1817 1909 3316 3634 3818 6557 6632 7268 7636 13114 13264 14536 15272 19067 26228 29072 30544 38134 52456 65491 68807 76268 104912 130982 137614 150811 152536 261964 275228 301622 305072 523928 550456 603244 1047856 1100912 1206488 1506293 1582561 2412976 3012586 3165122 5435753 6025172 6330244 10871506 12050344 12660488 21743012 24100688 25320976 43486024 86972048 125022319 250044638 500089276 1000178552 2000357104