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4021210240 = 2756283141
BaseRepresentation
bin1110111110101110…
…1100110010000000
3101101020121122102121
43233223230302000
531213412211430
61503004254024
7201435503005
oct35753546200
911336548377
104021210240
111783960853
12942841314
134c1139958
142a20b58ac
15188064a7a
hexefaecc80

4021210240 has 32 divisors (see below), whose sum is σ = 9613207260. Its totient is φ = 1608483840.

The previous prime is 4021210213. The next prime is 4021210241. The reversal of 4021210240 is 420121204.

It can be written as a sum of positive squares in 2 ways, for example, as 3864860224 + 156350016 = 62168^2 + 12504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4021210241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3140931 + ... + 3142210.

Almost surely, 24021210240 is an apocalyptic number.

4021210240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4021210240 is an abundant number, since it is smaller than the sum of its proper divisors (5591997020).

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

4021210240 is an equidigital number, since it uses as much as digits as its factorization.

4021210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283160 (or 6283148 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4021210240 is about 63413.0131755305. The cubic root of 4021210240 is about 1590.2018703910.

Adding to 4021210240 its reverse (420121204), we get a palindrome (4441331444).

The spelling of 4021210240 in words is "four billion, twenty-one million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 6283141 12566282 25132564 31415705 50265128 62831410 100530256 125662820 201060512 251325640 402121024 502651280 804242048 1005302560 2010605120 4021210240