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5040605360 = 24579299689
BaseRepresentation
bin1001011000111000…
…11000100010110000
3111000021210021122102
410230130120202300
540310343332420
62152101355532
7235624303310
oct45434304260
914007707572
105040605360
11215732145a
12b88108ba8
136243a7b2b
1435b631440
151e77c7a75
hex12c7188b0

5040605360 has 80 divisors (see below), whose sum is σ = 13409409600. Its totient is φ = 1726169088.

The previous prime is 5040605359. The next prime is 5040605413. The reversal of 5040605360 is 635060405.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515396 + ... + 525084.

It is an arithmetic number, because the mean of its divisors is an integer number (167617620).

Almost surely, 25040605360 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 5040605360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6704704800).

5040605360 is an abundant number, since it is smaller than the sum of its proper divisors (8368804240).

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

5040605360 is a wasteful number, since it uses less digits than its factorization.

5040605360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10638 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 5040605360 is about 70997.2207906760. The cubic root of 5040605360 is about 1714.5924181665.

Adding to 5040605360 its reverse (635060405), we get a palindrome (5675665765).

The spelling of 5040605360 in words is "five billion, forty million, six hundred five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 929 1858 3716 4645 6503 7432 9290 9689 13006 14864 18580 19378 26012 32515 37160 38756 48445 52024 65030 67823 74320 77512 96890 104048 130060 135646 155024 193780 260120 271292 339115 387560 520240 542584 678230 775120 1085168 1356460 2712920 5425840 9001081 18002162 36004324 45005405 63007567 72008648 90010810 126015134 144017296 180021620 252030268 315037835 360043240 504060536 630075670 720086480 1008121072 1260151340 2520302680 5040605360