Search a number
-
+
5235441720 = 23351721112163
BaseRepresentation
bin1001110000000111…
…01000000000111000
3111111212101222212220
410320003220000320
541210233113340
62223301404040
7243511343325
oct47003500070
914455358786
105235441720
1122472a7943
121021409620
13655874a12
1437946bb4c
15209961ed0
hex1380e8038

5235441720 has 128 divisors (see below), whose sum is σ = 16710416640. Its totient is φ = 1307658240.

The previous prime is 5235441689. The next prime is 5235441751. The reversal of 5235441720 is 271445325.

It is an interprime number because it is at equal distance from previous prime (5235441689) and next prime (5235441751).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424359 + ... + 436521.

It is an arithmetic number, because the mean of its divisors is an integer number (130550130).

Almost surely, 25235441720 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 5235441720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8355208320).

5235441720 is an abundant number, since it is smaller than the sum of its proper divisors (11474974920).

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

5235441720 is a wasteful number, since it uses less digits than its factorization.

5235441720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12405 (or 12401 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 5235441720 is about 72356.3523127030. The cubic root of 5235441720 is about 1736.4053282421.

The spelling of 5235441720 in words is "five billion, two hundred thirty-five million, four hundred forty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 211 255 340 408 422 510 633 680 844 1020 1055 1266 1688 2040 2110 2532 3165 3587 4220 5064 6330 7174 8440 10761 12163 12660 14348 17935 21522 24326 25320 28696 35870 36489 43044 48652 53805 60815 71740 72978 86088 97304 107610 121630 143480 145956 182445 206771 215220 243260 291912 364890 413542 430440 486520 620313 729780 827084 1033855 1240626 1459560 1654168 2067710 2481252 2566393 3101565 4135420 4962504 5132786 6203130 7699179 8270840 10265572 12406260 12831965 15398358 20531144 24812520 25663930 30796716 38495895 43628681 51327860 61593432 76991790 87257362 102655720 130886043 153983580 174514724 218143405 261772086 307967160 349029448 436286810 523544172 654430215 872573620 1047088344 1308860430 1745147240 2617720860 5235441720