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4104080 = 24529261
BaseRepresentation
bin1111101001111110010000
321201111201222
433221332100
52022312310
6223544212
746612151
oct17517620
97644658
104104080
112353502
12145b068
13b09066
1478b928
15561055
hex3e9f90

4104080 has 60 divisors (see below), whose sum is σ = 10044372. Its totient is φ = 1559040.

The previous prime is 4104053. The next prime is 4104083. The reversal of 4104080 is 804014.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 478864 + 3625216 = 692^2 + 1904^2 .

It is not an unprimeable number, because it can be changed into a prime (4104083) 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 11 ways as a sum of consecutive naturals, for example, 67250 + ... + 67310.

Almost surely, 24104080 is an apocalyptic number.

4104080 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 4104080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022186).

4104080 is an abundant number, since it is smaller than the sum of its proper divisors (5940292).

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

4104080 is a wasteful number, since it uses less digits than its factorization.

4104080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4104080 is about 2025.8529068025. The cubic root of 4104080 is about 160.1051392291.

Adding to 4104080 its reverse (804014), we get a palindrome (4908094).

The spelling of 4104080 in words is "four million, one hundred four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 61 80 116 122 145 232 244 290 305 464 488 580 610 841 976 1160 1220 1682 1769 2320 2440 3364 3538 4205 4880 6728 7076 8410 8845 13456 14152 16820 17690 28304 33640 35380 51301 67280 70760 102602 141520 205204 256505 410408 513010 820816 1026020 2052040 4104080