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4194160 = 245103509
BaseRepresentation
bin1111111111111101110000
321220002022021
433333331300
52033203120
6225521224
750435605
oct17777560
97802267
104194160
112405153
1214a3214
13b3b069
147b26ac
1557caaa
hex3fff70

4194160 has 40 divisors (see below), whose sum is σ = 9865440. Its totient is φ = 1658112.

The previous prime is 4194143. The next prime is 4194167. The reversal of 4194160 is 614914.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7986 + ... + 8494.

It is an arithmetic number, because the mean of its divisors is an integer number (246636).

Almost surely, 24194160 is an apocalyptic number.

4194160 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 4194160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932720).

4194160 is an abundant number, since it is smaller than the sum of its proper divisors (5671280).

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

4194160 is a wasteful number, since it uses less digits than its factorization.

4194160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 4194160 is about 2047.9648434482. The cubic root of 4194160 is about 161.2680487779.

The spelling of 4194160 in words is "four million, one hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 509 515 824 1018 1030 1648 2036 2060 2545 4072 4120 5090 8144 8240 10180 20360 40720 52427 104854 209708 262135 419416 524270 838832 1048540 2097080 4194160