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5302506560 = 2651311292
BaseRepresentation
bin1001111000000110…
…11101010001000000
3111200112121020112212
410330003131101000
541324420202220
62234055041252
7245254363541
oct47403352100
914615536485
105302506560
11228114372a
12103b970228
13666726560
143843284c8
152107ad0c5
hex13c0dd440

5302506560 has 84 divisors (see below), whose sum is σ = 13609925028. Its totient is φ = 1956114432.

The previous prime is 5302506551. The next prime is 5302506577. The reversal of 5302506560 is 656052035.

It can be written as a sum of positive squares in 6 ways, for example, as 2495202304 + 2807304256 = 49952^2 + 52984^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4696076 + ... + 4697204.

It is an arithmetic number, because the mean of its divisors is an integer number (162022917).

Almost surely, 25302506560 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 5302506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804962514).

5302506560 is an abundant number, since it is smaller than the sum of its proper divisors (8307418468).

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

5302506560 is an equidigital number, since it uses as much as digits as its factorization.

5302506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 5302506560 is about 72818.3119826325. The cubic root of 5302506560 is about 1743.7882146102.

Adding to 5302506560 its reverse (656052035), we get a palindrome (5958558595).

The spelling of 5302506560 in words is "five billion, three hundred two million, five hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 1129 2080 2258 4160 4516 5645 9032 11290 14677 18064 22580 29354 36128 45160 58708 72256 73385 90320 117416 146770 180640 234832 293540 361280 469664 587080 939328 1174160 1274641 2348320 2549282 4696640 5098564 6373205 10197128 12746410 16570333 20394256 25492820 33140666 40788512 50985640 66281332 81577024 82851665 101971280 132562664 165703330 203942560 265125328 331406660 407885120 530250656 662813320 1060501312 1325626640 2651253280 5302506560