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6810420132 = 22323147129841
BaseRepresentation
bin1100101011110111…
…01100001110100100
3122120122000012002200
412111323230032210
5102421431421012
63043442534500
7330524421165
oct62573541644
918518005080
106810420132
11298533949a
1213a0967430
13846c597c9
144886cb76c
1529cd6c3dc
hex195eec3a4

6810420132 has 72 divisors (see below), whose sum is σ = 18148795392. Its totient is φ = 2150150400.

The previous prime is 6810420131. The next prime is 6810420151. The reversal of 6810420132 is 2310240186.

It is a junction number, because it is equal to n+sod(n) for n = 6810420096 and 6810420105.

It is not an unprimeable number, because it can be changed into a prime (6810420131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12469 + ... + 117372.

Almost surely, 26810420132 is an apocalyptic number.

6810420132 is a gapful number since it is divisible by the number (62) 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 6810420132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9074397696).

6810420132 is an abundant number, since it is smaller than the sum of its proper divisors (11338375260).

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

6810420132 is a wasteful number, since it uses less digits than its factorization.

6810420132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129929 (or 129924 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6810420132 is about 82525.2696572389. The cubic root of 6810420132 is about 1895.5036922656.

The spelling of 6810420132 in words is "six billion, eight hundred ten million, four hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 372 423 558 564 846 1116 1457 1692 2914 4371 5828 8742 13113 17484 26226 52452 129841 259682 389523 519364 779046 1168569 1558092 2337138 4025071 4674276 6102527 8050142 12075213 12205054 16100284 18307581 24150426 24410108 36225639 36615162 48300852 54922743 72451278 73230324 109845486 144902556 189178337 219690972 378356674 567535011 756713348 1135070022 1702605033 2270140044 3405210066 6810420132