Search a number
-
+
5134352240 = 2451710336653
BaseRepresentation
bin1001100100000011…
…11111111101110000
3111020211012010012002
410302001333331300
541003343232430
62205250553132
7241143162653
oct46201777560
914224163162
105134352240
1121a5231916
12bb35987a8
1363a93c364
14369c7589a
15200b44845
hex13207ff70

5134352240 has 80 divisors (see below), whose sum is σ = 12762629568. Its totient is φ = 1914114048.

The previous prime is 5134352227. The next prime is 5134352243. The reversal of 5134352240 is 422534315.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5134352243) 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, 121754 + ... + 158406.

Almost surely, 25134352240 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 5134352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381314784).

5134352240 is an abundant number, since it is smaller than the sum of its proper divisors (7628277328).

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

5134352240 is a wasteful number, since it uses less digits than its factorization.

5134352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36786 (or 36780 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 5134352240 is about 71654.3944221148. The cubic root of 5134352240 is about 1725.1567164207.

Adding to 5134352240 its reverse (422534315), we get a palindrome (5556886555).

The spelling of 5134352240 in words is "five billion, one hundred thirty-four million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 103 136 170 206 272 340 412 515 680 824 1030 1360 1648 1751 2060 3502 4120 7004 8240 8755 14008 17510 28016 35020 36653 70040 73306 140080 146612 183265 293224 366530 586448 623101 733060 1246202 1466120 2492404 2932240 3115505 3775259 4984808 6231010 7550518 9969616 12462020 15101036 18876295 24924040 30202072 37752590 49848080 60404144 64179403 75505180 128358806 151010360 256717612 302020720 320897015 513435224 641794030 1026870448 1283588060 2567176120 5134352240