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1682138832 = 243113185869
BaseRepresentation
bin110010001000011…
…0110011011010000
311100020020111200020
41210100312123100
511421111420312
6434530023440
756453641563
oct14420663320
94306214606
101682138832
11793583890
123ab417b80
1320a66482a
1411d5964da
159ca2678c
hex644366d0

1682138832 has 40 divisors (see below), whose sum is σ = 4740574560. Its totient is φ = 509738880.

The previous prime is 1682138827. The next prime is 1682138851. The reversal of 1682138832 is 2388312861.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1592407 + ... + 1593462.

It is an arithmetic number, because the mean of its divisors is an integer number (118514364).

Almost surely, 21682138832 is an apocalyptic number.

1682138832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1682138832 is an abundant number, since it is smaller than the sum of its proper divisors (3058435728).

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

1682138832 is a wasteful number, since it uses less digits than its factorization.

1682138832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185891 (or 3185885 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 1682138832 is about 41013.8858436993. The cubic root of 1682138832 is about 1189.2886627445.

The spelling of 1682138832 in words is "one billion, six hundred eighty-two million, one hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3185869 6371738 9557607 12743476 19115214 25486952 35044559 38230428 50973904 70089118 76460856 105133677 140178236 152921712 210267354 280356472 420534708 560712944 841069416 1682138832