Search a number
-
+
5101532520 = 2335728121613
BaseRepresentation
bin1001100000001001…
…10011010101101000
3111011112102200222220
410300010303111220
540421443020040
62202115314040
7240264211440
oct46004632550
914145380886
105101532520
112188755987
12ba45ab920
13633bbaac6
14365771120
151ecd102d0
hex130133568

5101532520 has 128 divisors (see below), whose sum is σ = 17554026240. Its totient is φ = 1161861120.

The previous prime is 5101532483. The next prime is 5101532521. The reversal of 5101532520 is 252351015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5101532521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225234 + ... + 246846.

It is an arithmetic number, because the mean of its divisors is an integer number (137140830).

Almost surely, 25101532520 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 5101532520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8777013120).

5101532520 is an abundant number, since it is smaller than the sum of its proper divisors (12452493720).

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

5101532520 is a wasteful number, since it uses less digits than its factorization.

5101532520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21915 (or 21911 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 5101532520 is about 71425.0132656621. The cubic root of 5101532520 is about 1721.4730170299.

Adding to 5101532520 its reverse (252351015), we get a palindrome (5353883535).

The spelling of 5101532520 in words is "five billion, one hundred one million, five hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 281 420 562 840 843 1124 1405 1686 1967 2248 2810 3372 3934 4215 5620 5901 6744 7868 8430 9835 11240 11802 15736 16860 19670 21613 23604 29505 33720 39340 43226 47208 59010 64839 78680 86452 108065 118020 129678 151291 172904 216130 236040 259356 302582 324195 432260 453873 518712 605164 648390 756455 864520 907746 1210328 1296780 1512910 1815492 2269365 2593560 3025820 3630984 4538730 6051640 6073253 9077460 12146506 18154920 18219759 24293012 30366265 36439518 42512771 48586024 60732530 72879036 85025542 91098795 121465060 127538313 145758072 170051084 182197590 212563855 242930120 255076626 340102168 364395180 425127710 510153252 637691565 728790360 850255420 1020306504 1275383130 1700510840 2550766260 5101532520