| Base | Representation |
|---|---|
| bin | 110010010010011… |
| … | …0101010101000000 |
| 3 | 11100121002122101110 |
| 4 | 1210210311111000 |
| 5 | 11423432032331 |
| 6 | 435234203320 |
| 7 | 56546320050 |
| oct | 14444652500 |
| 9 | 4317078343 |
| 10 | 1687377216 |
| 11 | 796531528 |
| 12 | 3b1123540 |
| 13 | 20b779c75 |
| 14 | 12015b560 |
| 15 | 9d20d946 |
| hex | 64935540 |
1687377216 has 112 divisors (see below), whose sum is σ = 5113243520. Its totient is φ = 481075200.
The previous prime is 1687377203. The next prime is 1687377217. The reversal of 1687377216 is 6127737861.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1687377217) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806700 + ... + 808788.
It is an arithmetic number, because the mean of its divisors is an integer number (45653960).
Almost surely, 21687377216 is an apocalyptic number.
1687377216 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 1687377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556621760).
1687377216 is an abundant number, since it is smaller than the sum of its proper divisors (3425866304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1687377216 is a wasteful number, since it uses less digits than its factorization.
1687377216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2712 (or 2702 counting only the distinct ones).
The product of its digits is 592704, while the sum is 48.
The square root of 1687377216 is about 41077.6973064460. The cubic root of 1687377216 is about 1190.5219130979.
The spelling of 1687377216 in words is "one billion, six hundred eighty-seven million, three hundred seventy-seven thousand, two hundred sixteen".
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