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4117420 = 2252931229
BaseRepresentation
bin1111101101001110101100
321202012001001
433231032230
52023224140
6224130044
746666066
oct17551654
97665031
104117420
11236252a
121466924
13b12158
14792736
15564e9a
hex3ed3ac

4117420 has 48 divisors (see below), whose sum is σ = 9273600. Its totient is φ = 1532160.

The previous prime is 4117409. The next prime is 4117427. The reversal of 4117420 is 247114.

It is not an unprimeable number, because it can be changed into a prime (4117427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17866 + ... + 18094.

It is an arithmetic number, because the mean of its divisors is an integer number (193200).

Almost surely, 24117420 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 4117420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636800).

4117420 is an abundant number, since it is smaller than the sum of its proper divisors (5156180).

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

4117420 is a wasteful number, since it uses less digits than its factorization.

4117420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 4117420 is about 2029.1426761073. The cubic root of 4117420 is about 160.2784214782.

The spelling of 4117420 in words is "four million, one hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 229 290 310 458 580 620 899 916 1145 1798 2290 3596 4495 4580 6641 7099 8990 13282 14198 17980 26564 28396 33205 35495 66410 70990 132820 141980 205871 411742 823484 1029355 2058710 4117420