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4121680 = 24551521
BaseRepresentation
bin1111101110010001010000
321202101212211
433232101100
52023343210
6224201504
750014363
oct17562120
97671784
104121680
112365752
121469294
13b14084
147940da
1556638a
hex3ee450

4121680 has 20 divisors (see below), whose sum is σ = 9583092. Its totient is φ = 1648640.

The previous prime is 4121657. The next prime is 4121687. The reversal of 4121680 is 861214.

4121680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 3701776 = 648^2 + 1924^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25681 + ... + 25840.

Almost surely, 24121680 is an apocalyptic number.

4121680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4121680 is an abundant number, since it is smaller than the sum of its proper divisors (5461412).

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

4121680 is a wasteful number, since it uses less digits than its factorization.

4121680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51534 (or 51528 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 4121680 is about 2030.1921091365. The cubic root of 4121680 is about 160.3336786323. Note that the first 3 decimals are identical.

Adding to 4121680 its reverse (861214), we get a palindrome (4982894).

The spelling of 4121680 in words is "four million, one hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 51521 103042 206084 257605 412168 515210 824336 1030420 2060840 4121680