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4106080 = 255112333
BaseRepresentation
bin1111101010011101100000
321201121111001
433222131200
52022343310
6224001344
746621036
oct17523540
97647431
104106080
112354a60
121460254
13b09c44
1478c556
1556193a
hex3ea760

4106080 has 48 divisors (see below), whose sum is σ = 10587024. Its totient is φ = 1492480.

The previous prime is 4106077. The next prime is 4106083. The reversal of 4106080 is 806014.

It is an interprime number because it is at equal distance from previous prime (4106077) and next prime (4106083).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106083) 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, 594 + ... + 2926.

It is an arithmetic number, because the mean of its divisors is an integer number (220563).

Almost surely, 24106080 is an apocalyptic number.

4106080 is a gapful number since it is divisible by the number (40) 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 4106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293512).

4106080 is an abundant number, since it is smaller than the sum of its proper divisors (6480944).

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

4106080 is a wasteful number, since it uses less digits than its factorization.

4106080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4106080 is about 2026.3464659332. The cubic root of 4106080 is about 160.1311424809.

The spelling of 4106080 in words is "four million, one hundred six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2333 4666 9332 11665 18664 23330 25663 37328 46660 51326 74656 93320 102652 128315 186640 205304 256630 373280 410608 513260 821216 1026520 2053040 4106080