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4260000 = 2535471
BaseRepresentation
bin10000010000000010100000
322000102121210
4100100002200
52042310000
6231150120
751131553
oct20200240
98012553
104260000
11244a668
121515340
13b62014
147cc69a
15592350
hex4100a0

4260000 has 120 divisors (see below), whose sum is σ = 14170464. Its totient is φ = 1120000.

The previous prime is 4259951. The next prime is 4260001. The reversal of 4260000 is 624.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4260001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59965 + ... + 60035.

Almost surely, 24260000 is an apocalyptic number.

4260000 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 4260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085232).

4260000 is an abundant number, since it is smaller than the sum of its proper divisors (9910464).

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

4260000 is an equidigital number, since it uses as much as digits as its factorization.

4260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4260000 is about 2063.9767440550. The cubic root of 4260000 is about 162.1075341519.

Adding to 4260000 its reverse (624), we get a palindrome (4260624).

The spelling of 4260000 in words is "four million, two hundred sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 71 75 80 96 100 120 125 142 150 160 200 213 240 250 284 300 355 375 400 426 480 500 568 600 625 710 750 800 852 1000 1065 1136 1200 1250 1420 1500 1704 1775 1875 2000 2130 2272 2400 2500 2840 3000 3408 3550 3750 4000 4260 5000 5325 5680 6000 6816 7100 7500 8520 8875 10000 10650 11360 12000 14200 15000 17040 17750 20000 21300 26625 28400 30000 34080 35500 42600 44375 53250 56800 60000 71000 85200 88750 106500 133125 142000 170400 177500 213000 266250 284000 355000 426000 532500 710000 852000 1065000 1420000 2130000 4260000