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4106053134 = 2374012341
BaseRepresentation
bin1111010010111101…
…0110011000001110
3101121011021010000000
43310233112120032
531402122200014
61515234545130
7203515606251
oct36457263016
911534233000
104106053134
11181783a547
129671381a6
135058a4451
142ad47d098
15190723509
hexf4bd660e

4106053134 has 64 divisors (see below), whose sum is σ = 9264202560. Its totient is φ = 1364688000.

The previous prime is 4106053123. The next prime is 4106053157. The reversal of 4106053134 is 4313506014.

4106053134 is a `hidden beast` number, since 41 + 0 + 60 + 531 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4106053098 and 4106053107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1752804 + ... + 1755144.

It is an arithmetic number, because the mean of its divisors is an integer number (144753165).

Almost surely, 24106053134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4106053134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632101280).

4106053134 is an abundant number, since it is smaller than the sum of its proper divisors (5158149426).

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

4106053134 is an equidigital number, since it uses as much as digits as its factorization.

4106053134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4106053134 is about 64078.4919766375. The cubic root of 4106053134 is about 1601.3079323522.

Adding to 4106053134 its reverse (4313506014), we get a palindrome (8419559148).

The spelling of 4106053134 in words is "four billion, one hundred six million, fifty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 401 486 729 802 1203 1458 2187 2341 2406 3609 4374 4682 7023 7218 10827 14046 21069 21654 32481 42138 63207 64962 97443 126414 189621 194886 292329 379242 568863 584658 876987 938741 1137726 1706589 1753974 1877482 2816223 3413178 5119767 5632446 8448669 10239534 16897338 25346007 50692014 76038021 152076042 228114063 456228126 684342189 1368684378 2053026567 4106053134