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2130407808 = 27317332069
BaseRepresentation
bin111111011111011…
…0111000110000000
312111110201221002220
41332332313012000
513330341022213
6551222011040
7103536111324
oct17676670600
95443657086
102130407808
119a3617a11
124b5576a80
1327c4a6649
14162d23984
15c7071e23
hex7efb7180

2130407808 has 64 divisors (see below), whose sum is σ = 5691783600. Its totient is φ = 706009088.

The previous prime is 2130407791. The next prime is 2130407843. The reversal of 2130407808 is 8087040312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×21304078084 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50398 + ... + 82466.

Almost surely, 22130407808 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 2130407808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845891800).

2130407808 is an abundant number, since it is smaller than the sum of its proper divisors (3561375792).

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

2130407808 is a wasteful number, since it uses less digits than its factorization.

2130407808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32259 (or 32247 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2130407808 is about 46156.3409294974. The cubic root of 2130407808 is about 1286.7304595192.

The spelling of 2130407808 in words is "two billion, one hundred thirty million, four hundred seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 346 384 519 692 1038 1384 2076 2768 4152 5536 8304 11072 16608 22144 32069 33216 64138 66432 96207 128276 192414 256552 384828 513104 769656 1026208 1539312 2052416 3078624 4104832 5547937 6157248 11095874 12314496 16643811 22191748 33287622 44383496 66575244 88766992 133150488 177533984 266300976 355067968 532601952 710135936 1065203904 2130407808