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5205003040 = 255238317041
BaseRepresentation
bin1001101100011111…
…00000101100100000
3111102202010112212101
410312033200230200
541124440044130
62220253140144
7242661536656
oct46617405440
914382115771
105205003040
1122310a7906
12101318a654
1364c478173
143753c6dd6
15206e4d1ca
hex1363e0b20

5205003040 has 96 divisors (see below), whose sum is σ = 12986822016. Its totient is φ = 1967370240.

The previous prime is 5205003029. The next prime is 5205003047. The reversal of 5205003040 is 403005025.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5205002999 and 5205003017.

It is not an unprimeable number, because it can be changed into a prime (5205003047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296920 + ... + 313960.

It is an arithmetic number, because the mean of its divisors is an integer number (135279396).

Almost surely, 25205003040 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 5205003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493411008).

5205003040 is an abundant number, since it is smaller than the sum of its proper divisors (7781818976).

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

5205003040 is a wasteful number, since it uses less digits than its factorization.

5205003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17162 (or 17154 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 5205003040 is about 72145.7070101888. The cubic root of 5205003040 is about 1733.0336516746.

Adding to 5205003040 its reverse (403005025), we get a palindrome (5608008065).

The spelling of 5205003040 in words is "five billion, two hundred five million, three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 83 92 115 160 166 184 230 332 368 415 460 664 736 830 920 1328 1660 1840 1909 2656 3320 3680 3818 6640 7636 9545 13280 15272 17041 19090 30544 34082 38180 61088 68164 76360 85205 136328 152720 170410 272656 305440 340820 391943 545312 681640 783886 1363280 1414403 1567772 1959715 2726560 2828806 3135544 3919430 5657612 6271088 7072015 7838860 11315224 12542176 14144030 15677720 22630448 28288060 31355440 32531269 45260896 56576120 62710880 65062538 113152240 130125076 162656345 226304480 260250152 325312690 520500304 650625380 1041000608 1301250760 2602501520 5205003040