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4265040 = 2435131367
BaseRepresentation
bin10000010001010001010000
322000200112110
4100101101100
52042440130
6231225320
751152343
oct20212120
98020473
104265040
11245342a
121518240
13b643c0
147d045a
15593ab0
hex411450

4265040 has 80 divisors (see below), whose sum is σ = 14249088. Its totient is φ = 1049088.

The previous prime is 4265029. The next prime is 4265047. The reversal of 4265040 is 405624.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4264998 and 4265016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4265047) 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, 2437 + ... + 3803.

Almost surely, 24265040 is an apocalyptic number.

4265040 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 4265040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544).

4265040 is an abundant number, since it is smaller than the sum of its proper divisors (9984048).

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

4265040 is a wasteful number, since it uses less digits than its factorization.

4265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4265040 is about 2065.1973271337. The cubic root of 4265040 is about 162.1714386885.

The spelling of 4265040 in words is "four million, two hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1367 1560 2734 3120 4101 5468 6835 8202 10936 13670 16404 17771 20505 21872 27340 32808 35542 41010 53313 54680 65616 71084 82020 88855 106626 109360 142168 164040 177710 213252 266565 284336 328080 355420 426504 533130 710840 853008 1066260 1421680 2132520 4265040