Search a number
-
+
5190240 = 253511983
BaseRepresentation
bin10011110011001001100000
3100202200200010
4103303021200
52312041430
6303124520
762054616
oct23631140
910680603
105190240
112a25560
1218a3740
1310c9563
149916b6
156c7cb0
hex4f3260

5190240 has 96 divisors (see below), whose sum is σ = 17853696. Its totient is φ = 1256960.

The previous prime is 5190197. The next prime is 5190247. The reversal of 5190240 is 420915.

5190240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5190247) 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, 4789 + ... + 5771.

It is an arithmetic number, because the mean of its divisors is an integer number (185976).

Almost surely, 25190240 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 5190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926848).

5190240 is an abundant number, since it is smaller than the sum of its proper divisors (12663456).

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

5190240 is a wasteful number, since it uses less digits than its factorization.

5190240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 5190240 is about 2278.2098235237. The cubic root of 5190240 is about 173.1393622391.

The spelling of 5190240 in words is "five million, one hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 983 1056 1320 1760 1966 2640 2949 3932 4915 5280 5898 7864 9830 10813 11796 14745 15728 19660 21626 23592 29490 31456 32439 39320 43252 47184 54065 58980 64878 78640 86504 94368 108130 117960 129756 157280 162195 173008 216260 235920 259512 324390 346016 432520 471840 519024 648780 865040 1038048 1297560 1730080 2595120 5190240