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1676238016 = 261012111229
BaseRepresentation
bin110001111101001…
…0101110011000000
311022211010201021111
41203322111303000
511413104104031
6434155333104
756352534205
oct14372256300
94284121244
101676238016
11790213482
123a9451194
13209379a1b
1411c89bcac
159c25d1b1
hex63e95cc0

1676238016 has 56 divisors (see below), whose sum is σ = 3377885040. Its totient is φ = 825216000.

The previous prime is 1676237993. The next prime is 1676238017. The reversal of 1676238016 is 6108326761.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1676238016.

It is not an unprimeable number, because it can be changed into a prime (1676238017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1363290 + ... + 1364518.

Almost surely, 21676238016 is an apocalyptic number.

1676238016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1676238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688942520).

1676238016 is an abundant number, since it is smaller than the sum of its proper divisors (1701647024).

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

1676238016 is a wasteful number, since it uses less digits than its factorization.

1676238016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 1676238016 is about 40941.8858383441. The cubic root of 1676238016 is about 1187.8963885347.

The spelling of 1676238016 in words is "one billion, six hundred seventy-six million, two hundred thirty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 101 202 211 404 422 808 844 1229 1616 1688 2458 3232 3376 4916 6464 6752 9832 13504 19664 21311 39328 42622 78656 85244 124129 170488 248258 259319 340976 496516 518638 681952 993032 1037276 1363904 1986064 2074552 3972128 4149104 7944256 8298208 16596416 26191219 52382438 104764876 209529752 419059504 838119008 1676238016