Search a number
-
+
5121760 = 255717269
BaseRepresentation
bin10011100010011011100000
3100122012201211
4103202123200
52302344020
6301435504
761351150
oct23423340
910565654
105121760
112989066
12186bb94
1310a4337
14974760
156b285a
hex4e26e0

5121760 has 96 divisors (see below), whose sum is σ = 14696640. Its totient is φ = 1646592.

The previous prime is 5121751. The next prime is 5121763. The reversal of 5121760 is 671215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5121763) 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, 18906 + ... + 19174.

It is an arithmetic number, because the mean of its divisors is an integer number (153090).

Almost surely, 25121760 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 5121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7348320).

5121760 is an abundant number, since it is smaller than the sum of its proper divisors (9574880).

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

5121760 is a wasteful number, since it uses less digits than its factorization.

5121760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 5121760 is about 2263.1305751105. The cubic root of 5121760 is about 172.3745219247.

Adding to 5121760 its reverse (671215), we get a palindrome (5792975).

The spelling of 5121760 in words is "five million, one hundred twenty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 269 272 280 340 476 538 544 560 595 680 952 1076 1120 1190 1345 1360 1883 1904 2152 2380 2690 2720 3766 3808 4304 4573 4760 5380 7532 8608 9146 9415 9520 10760 15064 18292 18830 19040 21520 22865 30128 32011 36584 37660 43040 45730 60256 64022 73168 75320 91460 128044 146336 150640 160055 182920 256088 301280 320110 365840 512176 640220 731680 1024352 1280440 2560880 5121760