Search a number
-
+
5186280 = 2335113929
BaseRepresentation
bin10011110010001011101000
3100202111020110
4103302023220
52311430110
6303054320
762040231
oct23621350
910674213
105186280
112a22590
1218a13a0
1310c7808
14990088
156c6a20
hex4f22e8

5186280 has 64 divisors (see below), whose sum is σ = 16977600. Its totient is φ = 1256960.

The previous prime is 5186267. The next prime is 5186287. The reversal of 5186280 is 826815.

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

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (5186287) 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, 645 + ... + 3284.

It is an arithmetic number, because the mean of its divisors is an integer number (265275).

Almost surely, 25186280 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 5186280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8488800).

5186280 is an abundant number, since it is smaller than the sum of its proper divisors (11791320).

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

5186280 is a wasteful number, since it uses less digits than its factorization.

5186280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5186280 is about 2277.3405542430. The cubic root of 5186280 is about 173.0953176271.

The spelling of 5186280 in words is "five million, one hundred eighty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3929 7858 11787 15716 19645 23574 31432 39290 43219 47148 58935 78580 86438 94296 117870 129657 157160 172876 216095 235740 259314 345752 432190 471480 518628 648285 864380 1037256 1296570 1728760 2593140 5186280