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4252080 = 243572531
BaseRepresentation
bin10000001110000110110000
322000000202110
4100032012300
52042031310
6231045320
751066510
oct20160660
98000673
104252080
112444718
121510840
13b5b531
147c9840
1558ed20
hex40e1b0

4252080 has 80 divisors (see below), whose sum is σ = 15070464. Its totient is φ = 971520.

The previous prime is 4252063. The next prime is 4252081. The reversal of 4252080 is 802524.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252081) 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, 415 + ... + 2945.

Almost surely, 24252080 is an apocalyptic number.

4252080 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 4252080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535232).

4252080 is an abundant number, since it is smaller than the sum of its proper divisors (10818384).

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

4252080 is a wasteful number, since it uses less digits than its factorization.

4252080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4252080 is about 2062.0572252001. The cubic root of 4252080 is about 162.0070108229.

The spelling of 4252080 in words is "four million, two hundred fifty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2531 5062 7593 10124 12655 15186 17717 20248 25310 30372 35434 37965 40496 50620 53151 60744 70868 75930 88585 101240 106302 121488 141736 151860 177170 202480 212604 265755 283472 303720 354340 425208 531510 607440 708680 850416 1063020 1417360 2126040 4252080