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1682969520 = 24357012373
BaseRepresentation
bin110010001010000…
…0001001110110000
311100021210201011110
41210110001032300
511421320011040
6434555513320
756464001451
oct14424011660
94307721143
101682969520
11793aa0a01
123ab758840
1320a89596b
1411d731128
159cb3c980
hex645013b0

1682969520 has 40 divisors (see below), whose sum is σ = 5217206256. Its totient is φ = 448791808.

The previous prime is 1682969489. The next prime is 1682969527. The reversal of 1682969520 is 259692861.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1682969520.

It is not an unprimeable number, because it can be changed into a prime (1682969527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3505947 + ... + 3506426.

Almost surely, 21682969520 is an apocalyptic number.

1682969520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682969520 is an abundant number, since it is smaller than the sum of its proper divisors (3534236736).

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

1682969520 is a wasteful number, since it uses less digits than its factorization.

1682969520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7012389 (or 7012383 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 1682969520 is about 41024.0115054586. The cubic root of 1682969520 is about 1189.4843987175.

The spelling of 1682969520 in words is "one billion, six hundred eighty-two million, nine hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 7012373 14024746 21037119 28049492 35061865 42074238 56098984 70123730 84148476 105185595 112197968 140247460 168296952 210371190 280494920 336593904 420742380 560989840 841484760 1682969520