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5310400000 = 29553319
BaseRepresentation
bin1001111001000011…
…00100011000000000
3111201002110021022111
410330201210120000
541333430300000
62234540145104
7245411440513
oct47441443000
914632407274
105310400000
112285645134
121042538194
1366825b329
143853c0d7a
1521131bcba
hex13c864600

5310400000 has 120 divisors (see below), whose sum is σ = 13266182160. Its totient is φ = 2123520000.

The previous prime is 5310399979. The next prime is 5310400021. The reversal of 5310400000 is 40135.

It is an interprime number because it is at equal distance from previous prime (5310399979) and next prime (5310400021).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1598341 + ... + 1601659.

It is an arithmetic number, because the mean of its divisors is an integer number (110551518).

Almost surely, 25310400000 is an apocalyptic number.

5310400000 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 5310400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6633091080).

5310400000 is an abundant number, since it is smaller than the sum of its proper divisors (7955782160).

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

5310400000 is an frugal number, since it uses more digits than its factorization.

5310400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 5310400000 is about 72872.4913804928. The cubic root of 5310400000 is about 1744.6530674292.

Adding to 5310400000 its reverse (40135), we get a palindrome (5310440135).

The spelling of 5310400000 in words is "five billion, three hundred ten million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 3319 4000 5000 6250 6400 6638 8000 10000 12500 12800 13276 16000 16595 20000 25000 26552 32000 33190 40000 50000 53104 64000 66380 80000 82975 100000 106208 132760 160000 165950 200000 212416 265520 320000 331900 400000 414875 424832 531040 663800 800000 829750 849664 1062080 1327600 1600000 1659500 1699328 2074375 2124160 2655200 3319000 4148750 4248320 5310400 6638000 8297500 8496640 10371875 10620800 13276000 16595000 20743750 21241600 26552000 33190000 41487500 42483200 53104000 66380000 82975000 106208000 132760000 165950000 212416000 265520000 331900000 531040000 663800000 1062080000 1327600000 2655200000 5310400000