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1682969148 = 2232741162889
BaseRepresentation
bin110010001010000…
…0001001000111100
311100021210200122200
41210110001020330
511421320003043
6434555511500
756464000410
oct14424011074
94307720580
101682969148
11793aa06a3
123ab758590
1320a895743
1411d730d40
159cb3c7d3
hex6450123c

1682969148 has 72 divisors (see below), whose sum is σ = 4980524640. Its totient is φ = 469117440.

The previous prime is 1682969063. The next prime is 1682969201. The reversal of 1682969148 is 8419692861.

It is a junction number, because it is equal to n+sod(n) for n = 1682969094 and 1682969103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71113 + ... + 91776.

Almost surely, 21682969148 is an apocalyptic number.

1682969148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1682969148 is an abundant number, since it is smaller than the sum of its proper divisors (3297555492).

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

1682969148 is a wasteful number, since it uses less digits than its factorization.

1682969148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162947 (or 162942 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 1682969148 is about 41024.0069715283. The cubic root of 1682969148 is about 1189.4843110771.

The spelling of 1682969148 in words is "one billion, six hundred eighty-two million, nine hundred sixty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332 162889 325778 488667 651556 977334 1140223 1466001 1954668 2280446 2932002 3420669 4560892 5864004 6678449 6841338 10262007 13356898 13682676 20035347 20524014 26713796 40070694 41048028 46749143 60106041 80141388 93498286 120212082 140247429 186996572 240424164 280494858 420742287 560989716 841484574 1682969148