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5301052400 = 245276073119
BaseRepresentation
bin1001110111111011…
…11010001111110000
3111200102212100211002
410323331322033300
541324032134100
62234003541132
7245236126160
oct47375721760
914612770732
105301052400
112280340146
12103b38a7a8
136663376c7
1438406a5a0
152105c22d5
hex13bf7a3f0

5301052400 has 120 divisors (see below), whose sum is σ = 14583828480. Its totient is φ = 1813927680.

The previous prime is 5301052399. The next prime is 5301052411. The reversal of 5301052400 is 42501035.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1698041 + ... + 1701159.

It is an arithmetic number, because the mean of its divisors is an integer number (121531904).

Almost surely, 25301052400 is an apocalyptic number.

5301052400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5301052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291914240).

5301052400 is an abundant number, since it is smaller than the sum of its proper divisors (9282776080).

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

5301052400 is a wasteful number, since it uses less digits than its factorization.

5301052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 5301052400 is about 72808.3264469113. The cubic root of 5301052400 is about 1743.6287944770.

Adding to 5301052400 its reverse (42501035), we get a palindrome (5343553435).

The spelling of 5301052400 in words is "five billion, three hundred one million, fifty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 607 700 1214 1400 2428 2800 3035 3119 4249 4856 6070 6238 8498 9712 12140 12476 15175 15595 16996 21245 21833 24280 24952 30350 31190 33992 42490 43666 48560 49904 60700 62380 67984 77975 84980 87332 106225 109165 121400 124760 155950 169960 174664 212450 218330 242800 249520 311900 339920 349328 424900 436660 545825 623800 849800 873320 1091650 1247600 1699600 1746640 1893233 2183300 3786466 4366600 7572932 8733200 9466165 13252631 15145864 18932330 26505262 30291728 37864660 47330825 53010524 66263155 75729320 94661650 106021048 132526310 151458640 189323300 212042096 265052620 331315775 378646600 530105240 662631550 757293200 1060210480 1325263100 2650526200 5301052400