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4168136 = 237531
BaseRepresentation
bin1111111001100111001000
321211202121102
433321213020
52031340021
6225200532
750300000
oct17714710
97752542
104168136
112397645
121490148
13b2c26b
147a7000
1557500b
hex3f99c8

4168136 has 48 divisors (see below), whose sum is σ = 9411840. Its totient is φ = 1728720.

The previous prime is 4168133. The next prime is 4168159. The reversal of 4168136 is 6318614.

Its product of digits (3456) is a multiple of the sum of its prime factors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4168099 and 4168108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4168133) 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, 134441 + ... + 134471.

It is an arithmetic number, because the mean of its divisors is an integer number (196080).

Almost surely, 24168136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4168136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705920).

4168136 is an abundant number, since it is smaller than the sum of its proper divisors (5243704).

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

4168136 is an frugal number, since it uses more digits than its factorization.

4168136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 4168136 is about 2041.6013322880. The cubic root of 4168136 is about 160.9338102211.

The spelling of 4168136 in words is "four million, one hundred sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 343 392 434 686 868 1372 1519 1736 2401 2744 3038 4802 6076 9604 10633 12152 16807 19208 21266 33614 42532 67228 74431 85064 134456 148862 297724 521017 595448 1042034 2084068 4168136