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1682762068 = 2213217181809
BaseRepresentation
bin110010001001100…
…1110100101010100
311100021102011121001
41210103032211110
511421241341233
6434551233044
756462145601
oct14423164524
94307364531
101682762068
1179396a059
123ab678784
1320a822400
1411d6b96a8
159caeb27d
hex644ce954

1682762068 has 72 divisors (see below), whose sum is σ = 3399210360. Its totient is φ = 726036480.

The previous prime is 1682762047. The next prime is 1682762077. The reversal of 1682762068 is 8602672861.

It can be written as a sum of positive squares in 12 ways, for example, as 798175504 + 884586564 = 28252^2 + 29742^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2079648 + ... + 2080456.

It is an arithmetic number, because the mean of its divisors is an integer number (47211255).

Almost surely, 21682762068 is an apocalyptic number.

It is an amenable number.

1682762068 is an abundant number, since it is smaller than the sum of its proper divisors (1716448292).

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

1682762068 is a wasteful number, since it uses less digits than its factorization.

1682762068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 1682762068 is about 41021.4830058593. The cubic root of 1682762068 is about 1189.4355225982.

The spelling of 1682762068 in words is "one billion, six hundred eighty-two million, seven hundred sixty-two thousand, sixty-eight".

Divisors: 1 2 4 13 17 26 34 52 68 169 181 221 338 362 442 676 724 809 884 1618 2353 2873 3077 3236 4706 5746 6154 9412 10517 11492 12308 13753 21034 27506 30589 40001 42068 55012 61178 80002 122356 136721 146429 160004 178789 273442 292858 357578 520013 546884 585716 715156 1040026 1903577 2080052 2324257 2489293 3807154 4648514 4978586 7614308 9297028 9957172 24746501 32360809 49493002 64721618 98986004 129443236 420690517 841381034 1682762068