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4235120 = 245167317
BaseRepresentation
bin10000001001111101110000
321222011111022
4100021331300
52041010440
6230435012
750666201
oct20117560
97864438
104235120
1124329aa
121502a68
13b538b6
147c35a8
15589cb5
hex409f70

4235120 has 40 divisors (see below), whose sum is σ = 9936864. Its totient is φ = 1678592.

The previous prime is 4235083. The next prime is 4235129. The reversal of 4235120 is 215324.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4235129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13202 + ... + 13518.

Almost surely, 24235120 is an apocalyptic number.

4235120 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 4235120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968432).

4235120 is an abundant number, since it is smaller than the sum of its proper divisors (5701744).

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

4235120 is a wasteful number, since it uses less digits than its factorization.

4235120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4235120 is about 2057.9407182910. The cubic root of 4235120 is about 161.7913281350.

The spelling of 4235120 in words is "four million, two hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 317 334 634 668 835 1268 1336 1585 1670 2536 2672 3170 3340 5072 6340 6680 12680 13360 25360 52939 105878 211756 264695 423512 529390 847024 1058780 2117560 4235120