Search a number
-
+
2104530984 = 233441113701
BaseRepresentation
bin111110101110000…
…1001100000101000
312102200001020210000
41331130021200220
513302224442414
6544455223000
7103103134563
oct17534114050
95380036700
102104530984
1198aa53306
124a8977a60
1327701630a
1415d7094da
15c4b5eb09
hex7d709828

2104530984 has 160 divisors (see below), whose sum is σ = 6100534440. Its totient is φ = 677376000.

The previous prime is 2104530977. The next prime is 2104531019. The reversal of 2104530984 is 4890354012.

It can be written as a sum of positive squares in 4 ways, for example, as 1025408484 + 1079122500 = 32022^2 + 32850^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3001834 + ... + 3002534.

Almost surely, 22104530984 is an apocalyptic number.

2104530984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104530984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050267220).

2104530984 is an abundant number, since it is smaller than the sum of its proper divisors (3996003456).

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

2104530984 is a wasteful number, since it uses less digits than its factorization.

2104530984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2104530984 is about 45875.1674002395. The cubic root of 2104530984 is about 1281.4995008093.

Adding to 2104530984 its reverse (4890354012), we get a palindrome (6994884996).

The spelling of 2104530984 in words is "two billion, one hundred four million, five hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 113 123 162 164 216 226 246 324 328 339 369 452 492 648 678 701 738 904 984 1017 1107 1356 1402 1476 2034 2103 2214 2712 2804 2952 3051 3321 4068 4206 4428 4633 5608 6102 6309 6642 8136 8412 8856 9153 9266 12204 12618 13284 13899 16824 18306 18532 18927 24408 25236 26568 27798 28741 36612 37064 37854 41697 50472 55596 56781 57482 73224 75708 79213 83394 86223 111192 113562 114964 125091 151416 158426 166788 172446 227124 229928 237639 250182 258669 316852 333576 344892 375273 454248 475278 500364 517338 633704 689784 712917 750546 776007 950556 1000728 1034676 1425834 1501092 1552014 1901112 2069352 2138751 2328021 2851668 3002184 3104028 3247733 4277502 4656042 5703336 6208056 6416253 6495466 8555004 9312084 9743199 12832506 12990932 17110008 18624168 19486398 25665012 25981864 29229597 38972796 51330024 58459194 77945592 87688791 116918388 175377582 233836776 263066373 350755164 526132746 701510328 1052265492 2104530984