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5310546640 = 245722941411
BaseRepresentation
bin1001111001000100…
…01000001011010000
3111201002201201110121
410330202020023100
541333444443030
62234543240024
7245412621160
oct47442101320
914632651417
105310546640
112285735323
1210425a9014
136682accb9
1438541c5a0
1521134a47a
hex13c8882d0

5310546640 has 80 divisors (see below), whose sum is σ = 14172842880. Its totient is φ = 1812764160.

The previous prime is 5310546617. The next prime is 5310546677. The reversal of 5310546640 is 466450135.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5310546596 and 5310546605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107535 + ... + 148945.

It is an arithmetic number, because the mean of its divisors is an integer number (177160536).

Almost surely, 25310546640 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 5310546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086421440).

5310546640 is an abundant number, since it is smaller than the sum of its proper divisors (8862296240).

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

5310546640 is a wasteful number, since it uses less digits than its factorization.

5310546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41660 (or 41654 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 5310546640 is about 72873.4975145286. The cubic root of 5310546640 is about 1744.6691260796.

Adding to 5310546640 its reverse (466450135), we get a palindrome (5776996775).

The spelling of 5310546640 in words is "five billion, three hundred ten million, five hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 229 280 458 560 916 1145 1603 1832 2290 3206 3664 4580 6412 8015 9160 12824 16030 18320 25648 32060 41411 64120 82822 128240 165644 207055 289877 331288 414110 579754 662576 828220 1159508 1449385 1656440 2319016 2898770 3312880 4638032 5797540 9483119 11595080 18966238 23190160 37932476 47415595 66381833 75864952 94831190 132763666 151729904 189662380 265527332 331909165 379324760 531054664 663818330 758649520 1062109328 1327636660 2655273320 5310546640