Search a number
-
+
5095920 = 2435171249
BaseRepresentation
bin10011011100000111110000
3100120220021210
4103130013300
52301032140
6301120120
761212624
oct23340760
910526253
105095920
112970705
121859040
13109564b
14969184
156a9d80
hex4dc1f0

5095920 has 80 divisors (see below), whose sum is σ = 16740000. Its totient is φ = 1277952.

The previous prime is 5095919. The next prime is 5095921. The reversal of 5095920 is 295905.

It is an interprime number because it is at equal distance from previous prime (5095919) and next prime (5095921).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5095921) 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 15 ways as a sum of consecutive naturals, for example, 3456 + ... + 4704.

It is an arithmetic number, because the mean of its divisors is an integer number (209250).

Almost surely, 25095920 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 5095920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370000).

5095920 is an abundant number, since it is smaller than the sum of its proper divisors (11644080).

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

5095920 is a wasteful number, since it uses less digits than its factorization.

5095920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 5095920 is about 2257.4144502063. The cubic root of 5095920 is about 172.0841484769.

The spelling of 5095920 in words is "five million, ninety-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1249 1360 2040 2498 3747 4080 4996 6245 7494 9992 12490 14988 18735 19984 21233 24980 29976 37470 42466 49960 59952 63699 74940 84932 99920 106165 127398 149880 169864 212330 254796 299760 318495 339728 424660 509592 636990 849320 1019184 1273980 1698640 2547960 5095920