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5120760 = 2335139307
BaseRepresentation
bin10011100010001011111000
3100122011100210
4103202023320
52302331020
6301431120
761345221
oct23421370
910564323
105120760
112988337
12186b4a0
1310a3a48
14974248
156b23e0
hex4e22f8

5120760 has 64 divisors (see below), whose sum is σ = 15523200. Its totient is φ = 1351296.

The previous prime is 5120737. The next prime is 5120809. The reversal of 5120760 is 670215.

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 15 ways as a sum of consecutive naturals, for example, 16527 + ... + 16833.

It is an arithmetic number, because the mean of its divisors is an integer number (242550).

Almost surely, 25120760 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 5120760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7761600).

5120760 is an abundant number, since it is smaller than the sum of its proper divisors (10402440).

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

5120760 is a wasteful number, since it uses less digits than its factorization.

5120760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 5120760 is about 2262.9096314259. The cubic root of 5120760 is about 172.3633027513.

Adding to 5120760 its reverse (670215), we get a palindrome (5790975).

The spelling of 5120760 in words is "five million, one hundred twenty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 307 417 556 614 695 834 921 1112 1228 1390 1535 1668 1842 2085 2456 2780 3070 3336 3684 4170 4605 5560 6140 7368 8340 9210 12280 16680 18420 36840 42673 85346 128019 170692 213365 256038 341384 426730 512076 640095 853460 1024152 1280190 1706920 2560380 5120760