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4202050120 = 2352927113367
BaseRepresentation
bin1111101001110110…
…0011001001001000
3101211211220021002221
43322131203021020
532101211100440
61532544303424
7206062556662
oct37235431110
911754807087
104202050120
111866a474a4
12993311b74
1351c745bb8
142bc10b532
15198d86d4a
hexfa763248

4202050120 has 64 divisors (see below), whose sum is σ = 9817459200. Its totient is φ = 1616751360.

The previous prime is 4202050057. The next prime is 4202050129. The reversal of 4202050120 is 210502024.

4202050120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4202050094 and 4202050103.

It is not an unprimeable number, because it can be changed into a prime (4202050129) 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, 307677 + ... + 321043.

It is an arithmetic number, because the mean of its divisors is an integer number (153397800).

Almost surely, 24202050120 is an apocalyptic number.

4202050120 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 4202050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908729600).

4202050120 is an abundant number, since it is smaller than the sum of its proper divisors (5615409080).

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

4202050120 is a wasteful number, since it uses less digits than its factorization.

4202050120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13678 (or 13674 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4202050120 is about 64823.2220735748. Note that the first 3 decimals coincide. The cubic root of 4202050120 is about 1613.6911209681.

Adding to 4202050120 its reverse (210502024), we get a palindrome (4412552144).

The spelling of 4202050120 in words is "four billion, two hundred two million, fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 271 290 542 580 1084 1160 1355 2168 2710 5420 7859 10840 13367 15718 26734 31436 39295 53468 62872 66835 78590 106936 133670 157180 267340 314360 387643 534680 775286 1550572 1938215 3101144 3622457 3876430 7244914 7752860 14489828 15505720 18112285 28979656 36224570 72449140 105051253 144898280 210102506 420205012 525256265 840410024 1050512530 2101025060 4202050120