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4064240 = 245101503
BaseRepresentation
bin1111100000001111110000
321122111002102
433200033300
52020023430
6223035532
746355045
oct17401760
97574072
104064240
112326584
12143bba8
13ac3b9b
1477b1cc
15554345
hex3e03f0

4064240 has 40 divisors (see below), whose sum is σ = 9561888. Its totient is φ = 1606400.

The previous prime is 4064237. The next prime is 4064243. The reversal of 4064240 is 424604.

4064240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4064237) and next prime (4064243).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7829 + ... + 8331.

Almost surely, 24064240 is an apocalyptic number.

4064240 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 4064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780944).

4064240 is an abundant number, since it is smaller than the sum of its proper divisors (5497648).

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

4064240 is a wasteful number, since it uses less digits than its factorization.

4064240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4064240 is about 2015.9960317421. The cubic root of 4064240 is about 159.5853848506.

Adding to 4064240 its reverse (424604), we get a palindrome (4488844).

It can be divided in two parts, 406 and 4240, that multiplied together give a triangular number (1721440 = T1855).

The spelling of 4064240 in words is "four million, sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 503 505 808 1006 1010 1616 2012 2020 2515 4024 4040 5030 8048 8080 10060 20120 40240 50803 101606 203212 254015 406424 508030 812848 1016060 2032120 4064240