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4196680 = 235104917
BaseRepresentation
bin10000000000100101001000
321220012202121
4100000211020
52033243210
6225541024
750446135
oct20004510
97805677
104196680
112407034
1214a4774
13b3c257
147b358c
1557d6da
hex400948

4196680 has 16 divisors (see below), whose sum is σ = 9442620. Its totient is φ = 1678656.

The previous prime is 4196659. The next prime is 4196683. The reversal of 4196680 is 866914.

It can be written as a sum of positive squares in 2 ways, for example, as 3709476 + 487204 = 1926^2 + 698^2 .

It is a super-3 number, since 3×41966803 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4196683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52419 + ... + 52498.

Almost surely, 24196680 is an apocalyptic number.

4196680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4196680 is an abundant number, since it is smaller than the sum of its proper divisors (5245940).

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

4196680 is a wasteful number, since it uses less digits than its factorization.

4196680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104928 (or 104924 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 4196680 is about 2048.5799959972. The cubic root of 4196680 is about 161.3003408315.

It can be divided in two parts, 41 and 96680, that added together give a square (96721 = 3112).

The spelling of 4196680 in words is "four million, one hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 104917 209834 419668 524585 839336 1049170 2098340 4196680