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4117134 = 237611607
BaseRepresentation
bin1111101101001010001110
321202011122110
433231022032
52023222014
6224124450
746665210
oct17551216
97664573
104117134
11236229a
121466726
13b11c98
147925b0
15564d59
hex3ed28e

4117134 has 32 divisors (see below), whose sum is σ = 9570816. Its totient is φ = 1156320.

The previous prime is 4117133. The next prime is 4117151. The reversal of 4117134 is 4317114.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4117134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117133) 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 15 ways as a sum of consecutive naturals, for example, 1759 + ... + 3365.

It is an arithmetic number, because the mean of its divisors is an integer number (299088).

Almost surely, 24117134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4117134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785408).

4117134 is an abundant number, since it is smaller than the sum of its proper divisors (5453682).

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

4117134 is a wasteful number, since it uses less digits than its factorization.

4117134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680.

The product of its digits is 336, while the sum is 21.

The square root of 4117134 is about 2029.0722017710. The cubic root of 4117134 is about 160.2747103606.

The spelling of 4117134 in words is "four million, one hundred seventeen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 427 854 1281 1607 2562 3214 4821 9642 11249 22498 33747 67494 98027 196054 294081 588162 686189 1372378 2058567 4117134