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1681675440 = 24357006981
BaseRepresentation
bin110010000111100…
…0101010010110000
311100012100222000120
41210033011102300
511421002103230
6434512050240
756450001564
oct14417052260
94305328016
101681675440
11793297715
123ab233980
1320a531933
1411d4b56a4
159c984310
hex643c54b0

1681675440 has 40 divisors (see below), whose sum is σ = 5213194608. Its totient is φ = 448446720.

The previous prime is 1681675421. The next prime is 1681675459. The reversal of 1681675440 is 445761861.

It is an interprime number because it is at equal distance from previous prime (1681675421) and next prime (1681675459).

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

It is a junction number, because it is equal to n+sod(n) for n = 1681675392 and 1681675401.

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, 3503251 + ... + 3503730.

Almost surely, 21681675440 is an apocalyptic number.

1681675440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1681675440 is an abundant number, since it is smaller than the sum of its proper divisors (3531519168).

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

1681675440 is a wasteful number, since it uses less digits than its factorization.

1681675440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006997 (or 7006991 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1681675440 is about 41008.2362459055. The cubic root of 1681675440 is about 1189.1794451510.

The spelling of 1681675440 in words is "one billion, six hundred eighty-one million, six hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 7006981 14013962 21020943 28027924 35034905 42041886 56055848 70069810 84083772 105104715 112111696 140139620 168167544 210209430 280279240 336335088 420418860 560558480 840837720 1681675440