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5004460340 = 22511175325247
BaseRepresentation
bin1001010100100101…
…00000000100110100
3110220202202220222222
410222102200010310
540222120212330
62144330541512
7235005132245
oct45222400464
913822686888
105004460340
112138984140
12b77b97898
13619a60b49
14356902ccc
151e45380e5
hex12a4a0134

5004460340 has 96 divisors (see below), whose sum is σ = 12368692224. Its totient is φ = 1680373760.

The previous prime is 5004460319. The next prime is 5004460343. The reversal of 5004460340 is 430644005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004460343) by changing a digit.

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, 185597 + ... + 210843.

It is an arithmetic number, because the mean of its divisors is an integer number (128840544).

Almost surely, 25004460340 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 5004460340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184346112).

5004460340 is an abundant number, since it is smaller than the sum of its proper divisors (7364231884).

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

5004460340 is a wasteful number, since it uses less digits than its factorization.

5004460340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25337 (or 25335 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 5004460340 is about 70742.2104545794. The cubic root of 5004460340 is about 1710.4842671621.

The spelling of 5004460340 in words is "five billion, four million, four hundred sixty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 53 55 68 85 106 110 170 187 212 220 265 340 374 530 583 748 901 935 1060 1166 1802 1870 2332 2915 3604 3740 4505 5830 9010 9911 11660 18020 19822 25247 39644 49555 50494 99110 100988 126235 198220 252470 277717 429199 504940 555434 858398 1110868 1338091 1388585 1716796 2145995 2676182 2777170 4291990 4721189 5352364 5554340 6690455 8583980 9442378 13380910 14719001 18884756 22747547 23605945 26761820 29438002 45495094 47211890 58876004 73595005 90990188 94423780 113737735 147190010 227475470 250223017 294380020 454950940 500446034 1000892068 1251115085 2502230170 5004460340