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1682356920 = 233514019641
BaseRepresentation
bin110010001000110…
…1011101010111000
311100020122120211120
41210101223222320
511421140410140
6434534425240
756455540446
oct14421535270
94306576746
101682356920
11793712722
123ab502220
1320a70cb8a
1411d611b96
159ca6b1d0
hex6446bab8

1682356920 has 32 divisors (see below), whose sum is σ = 5047071120. Its totient is φ = 448628480.

The previous prime is 1682356913. The next prime is 1682356931. The reversal of 1682356920 is 296532861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7009701 + ... + 7009940.

Almost surely, 21682356920 is an apocalyptic number.

1682356920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682356920 is an abundant number, since it is smaller than the sum of its proper divisors (3364714200).

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

1682356920 is a wasteful number, since it uses less digits than its factorization.

1682356920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14019655 (or 14019651 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 1682356920 is about 41016.5444668368. The cubic root of 1682356920 is about 1189.3400573089.

The spelling of 1682356920 in words is "one billion, six hundred eighty-two million, three hundred fifty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 14019641 28039282 42058923 56078564 70098205 84117846 112157128 140196410 168235692 210294615 280392820 336471384 420589230 560785640 841178460 1682356920