Search a number
-
+
4240040 = 235719797
BaseRepresentation
bin10000001011001010101000
321222102020112
4100023022220
52041140130
6230513452
751016430
oct20131250
97872215
104240040
112436672
121505888
13b55bcc
147c52c0
1558b495
hex40b2a8

4240040 has 64 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 1375488.

The previous prime is 4240037. The next prime is 4240043. The reversal of 4240040 is 400424.

It is an interprime number because it is at equal distance from previous prime (4240037) and next prime (4240043).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 4239997 and 4240024.

It is not an unprimeable number, because it can be changed into a prime (4240043) 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, 4922 + ... + 5718.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 24240040 is an apocalyptic number.

4240040 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 4240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

4240040 is an abundant number, since it is smaller than the sum of its proper divisors (7251160).

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

4240040 is a wasteful number, since it uses less digits than its factorization.

4240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4240040 is about 2059.1357410331. The cubic root of 4240040 is about 161.8539556628.

Adding to 4240040 its reverse (400424), we get a palindrome (4640464).

The spelling of 4240040 in words is "four million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 797 1064 1330 1594 2660 3188 3985 5320 5579 6376 7970 11158 15143 15940 22316 27895 30286 31880 44632 55790 60572 75715 106001 111580 121144 151430 212002 223160 302860 424004 530005 605720 848008 1060010 2120020 4240040