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5117920 = 255291103
BaseRepresentation
bin10011100001011111100000
3100122000110121
4103201133200
52302233140
6301410024
761334023
oct23413740
910560417
105117920
112986195
121869914
1310a2672
149731ba
156b164a
hex4e17e0

5117920 has 48 divisors (see below), whose sum is σ = 12519360. Its totient is φ = 1974784.

The previous prime is 5117899. The next prime is 5117923. The reversal of 5117920 is 297115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117923) 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 7 ways as a sum of consecutive naturals, for example, 4089 + ... + 5191.

It is an arithmetic number, because the mean of its divisors is an integer number (260820).

Almost surely, 25117920 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 5117920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259680).

5117920 is an abundant number, since it is smaller than the sum of its proper divisors (7401440).

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

5117920 is a wasteful number, since it uses less digits than its factorization.

5117920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 5117920 is about 2262.2820336996. The cubic root of 5117920 is about 172.3314323321.

It can be divided in two parts, 51 and 17920, that added together give a palindrome (17971).

The spelling of 5117920 in words is "five million, one hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1103 1160 2206 2320 4412 4640 5515 8824 11030 17648 22060 31987 35296 44120 63974 88240 127948 159935 176480 255896 319870 511792 639740 1023584 1279480 2558960 5117920