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5015300430 = 235725364373
BaseRepresentation
bin1001010101110111…
…10110100101001110
3110221112011122210210
410222323312211032
540232404103210
62145355143250
7235166231100
oct45273664516
913845148723
105015300430
112144008498
12b7b744b26
1361c087bba
14358125570
151e5479e20
hex12aef694e

5015300430 has 96 divisors (see below), whose sum is σ = 14266308384. Its totient is φ = 1124707584.

The previous prime is 5015300419. The next prime is 5015300449. The reversal of 5015300430 is 340035105.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5015300397 and 5015300406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45724 + ... + 110096.

It is an arithmetic number, because the mean of its divisors is an integer number (148607379).

Almost surely, 25015300430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5015300430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7133154192).

5015300430 is an abundant number, since it is smaller than the sum of its proper divisors (9251007954).

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

5015300430 is a wasteful number, since it uses less digits than its factorization.

5015300430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64450 (or 64443 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 5015300430 is about 70818.7858551670. The cubic root of 5015300430 is about 1711.7183950211.

Adding to 5015300430 its reverse (340035105), we get a palindrome (5355335535).

The spelling of 5015300430 in words is "five billion, fifteen million, three hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 53 70 98 105 106 147 159 210 245 265 294 318 371 490 530 735 742 795 1113 1470 1590 1855 2226 2597 3710 5194 5565 7791 11130 12985 15582 25970 38955 64373 77910 128746 193119 321865 386238 450611 643730 901222 965595 1351833 1931190 2253055 2703666 3154277 3411769 4506110 6308554 6759165 6823538 9462831 10235307 13518330 15771385 17058845 18925662 20470614 23882383 31542770 34117690 47314155 47764766 51176535 71647149 94628310 102353070 119411915 143294298 167176681 238823830 334353362 358235745 501530043 716471490 835883405 1003060086 1671766810 2507650215 5015300430