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5140240 = 245767137
BaseRepresentation
bin10011100110111100010000
3100200011002021
4103212330100
52303441430
6302101224
761456060
oct23467420
910604067
105140240
1129a0a36
12187a814
1310ac881
1497b3a0
156b807a
hex4e6f10

5140240 has 80 divisors (see below), whose sum is σ = 13963392. Its totient is φ = 1723392.

The previous prime is 5140237. The next prime is 5140253. The reversal of 5140240 is 420415.

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 (16).

It is an unprimeable number.

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, 37452 + ... + 37588.

Almost surely, 25140240 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 5140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6981696).

5140240 is an abundant number, since it is smaller than the sum of its proper divisors (8823152).

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

5140240 is a wasteful number, since it uses less digits than its factorization.

5140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 5140240 is about 2267.2097388641. The cubic root of 5140240 is about 172.5815899125.

Adding to 5140240 its reverse (420415), we get a palindrome (5560655).

The spelling of 5140240 in words is "five million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 137 140 268 274 280 335 469 536 548 560 670 685 938 959 1072 1096 1340 1370 1876 1918 2192 2345 2680 2740 3752 3836 4690 4795 5360 5480 7504 7672 9179 9380 9590 10960 15344 18358 18760 19180 36716 37520 38360 45895 64253 73432 76720 91790 128506 146864 183580 257012 321265 367160 514024 642530 734320 1028048 1285060 2570120 5140240