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1676912640 = 211351321719
BaseRepresentation
bin110001111110011…
…1010100000000000
311022212101222200120
41203330322200000
511413242201030
6434222020240
756361344064
oct14374724000
94285358616
101676912640
11790634317
123a9717680
13209554b00
1411c9d5aa4
159c343010
hex63f3a800

1676912640 has 576 divisors, whose sum is σ = 6474686400. Its totient is φ = 368050176.

The previous prime is 1676912639. The next prime is 1676912647. The reversal of 1676912640 is 462196761.

It is a junction number, because it is equal to n+sod(n) for n = 1676912592 and 1676912601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1676912647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 88258551 + ... + 88258569.

It is an arithmetic number, because the mean of its divisors is an integer number (11240775).

Almost surely, 21676912640 is an apocalyptic number.

1676912640 is a gapful number since it is divisible by the number (10) 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 1676912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237343200).

1676912640 is an abundant number, since it is smaller than the sum of its proper divisors (4797773760).

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

1676912640 is a wasteful number, since it uses less digits than its factorization.

1676912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1676912640 is about 40950.1238093366. The cubic root of 1676912640 is about 1188.0557286603.

The spelling of 1676912640 in words is "one billion, six hundred seventy-six million, nine hundred twelve thousand, six hundred forty".