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1682066420 = 225795691871
BaseRepresentation
bin110010001000010…
…0100101111110100
311100020002211100022
41210100210233310
511421102111140
6434524304312
756453220506
oct14420445764
94306084308
101682066420
11793534441
123ab3a2098
1320a63a898
1411d577d76
159ca100b5
hex64424bf4

1682066420 has 48 divisors (see below), whose sum is σ = 3585254400. Its totient is φ = 662787840.

The previous prime is 1682066363. The next prime is 1682066431. The reversal of 1682066420 is 246602861.

Together with 1903187979 it forms a betrothed pair.

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, 898085 + ... + 899955.

It is an arithmetic number, because the mean of its divisors is an integer number (74692800).

Almost surely, 21682066420 is an apocalyptic number.

1682066420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682066420 is an abundant number, since it is smaller than the sum of its proper divisors (1903187980).

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

1682066420 is a wasteful number, since it uses less digits than its factorization.

1682066420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 1682066420 is about 41013.0030600052. The cubic root of 1682066420 is about 1189.2715971681.

The spelling of 1682066420 in words is "one billion, six hundred eighty-two million, sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 79 158 316 395 569 790 1138 1580 1871 2276 2845 3742 5690 7484 9355 11380 18710 37420 44951 89902 147809 179804 224755 295618 449510 591236 739045 899020 1064599 1478090 2129198 2956180 4258396 5322995 10645990 21291980 84103321 168206642 336413284 420516605 841033210 1682066420