Search a number
-
+
4104160 = 255113227
BaseRepresentation
bin1111101001111111100000
321201111211221
433221333200
52022313120
6223544424
746612324
oct17517740
97644757
104104160
112353575
12145b114
13b090c8
1478b984
155610aa
hex3e9fe0

4104160 has 48 divisors (see below), whose sum is σ = 9824976. Its totient is φ = 1619968.

The previous prime is 4104131. The next prime is 4104169. The reversal of 4104160 is 614014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104169) 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, 17967 + ... + 18193.

It is an arithmetic number, because the mean of its divisors is an integer number (204687).

Almost surely, 24104160 is an apocalyptic number.

4104160 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 4104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912488).

4104160 is an abundant number, since it is smaller than the sum of its proper divisors (5720816).

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

4104160 is a wasteful number, since it uses less digits than its factorization.

4104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4104160 is about 2025.8726514764. The cubic root of 4104160 is about 160.1061795213.

Adding to 4104160 its reverse (614014), we get a palindrome (4718174).

The spelling of 4104160 in words is "four million, one hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 227 452 454 565 904 908 1130 1135 1808 1816 2260 2270 3616 3632 4520 4540 7264 9040 9080 18080 18160 25651 36320 51302 102604 128255 205208 256510 410416 513020 820832 1026040 2052080 4104160