Search a number
-
+
5172741340 = 22513375031069
BaseRepresentation
bin1001101000101000…
…11100010011011100
3111100111102111010121
410310110130103130
541043210210330
62213141444324
7242120401354
oct46424342334
914314374117
105172741340
112214972148
1210044106a4
136458908c0
14370dc9b64
152041c917a
hex13451c4dc

5172741340 has 96 divisors (see below), whose sum is σ = 12049672320. Its totient is φ = 1852886016.

The previous prime is 5172741319. The next prime is 5172741341. The reversal of 5172741340 is 431472715.

It is a junction number, because it is equal to n+sod(n) for n = 5172741296 and 5172741305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5172741341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4838326 + ... + 4839394.

It is an arithmetic number, because the mean of its divisors is an integer number (125517420).

Almost surely, 25172741340 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 5172741340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024836160).

5172741340 is an abundant number, since it is smaller than the sum of its proper divisors (6876930980).

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

5172741340 is a wasteful number, since it uses less digits than its factorization.

5172741340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 5172741340 is about 71921.7723641458. The cubic root of 5172741340 is about 1729.4456597636.

The spelling of 5172741340 in words is "five billion, one hundred seventy-two million, seven hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 503 740 962 1006 1069 1924 2012 2138 2405 2515 4276 4810 5030 5345 6539 9620 10060 10690 13078 13897 18611 21380 26156 27794 32695 37222 39553 55588 65390 69485 74444 79106 93055 130780 138970 158212 186110 197765 241943 277940 372220 395530 483886 514189 537707 791060 967772 1028378 1075414 1209715 2056756 2150828 2419430 2570945 2688535 4838860 5141890 5377070 6990191 10283780 10754140 13980382 19895159 27960764 34950955 39790318 69901910 79580636 99475795 139803820 198951590 258637067 397903180 517274134 1034548268 1293185335 2586370670 5172741340