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4240120 = 235711493
BaseRepresentation
bin10000001011001011111000
321222102100111
4100023023320
52041140440
6230514104
751016603
oct20131370
97872314
104240120
112436735
121505934
13b55c61
147c533a
1558b4ea
hex40b2f8

4240120 has 32 divisors (see below), whose sum is σ = 9681120. Its totient is φ = 1671040.

The previous prime is 4240111. The next prime is 4240127. The reversal of 4240120 is 210424.

It is a super-2 number, since 2×42401202 = 35957235228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4240120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2094 + ... + 3586.

It is an arithmetic number, because the mean of its divisors is an integer number (302535).

Almost surely, 24240120 is an apocalyptic number.

4240120 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 4240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840560).

4240120 is an abundant number, since it is smaller than the sum of its proper divisors (5441000).

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

4240120 is a wasteful number, since it uses less digits than its factorization.

4240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4240120 is about 2059.1551665671. The cubic root of 4240120 is about 161.8549735962.

Adding to 4240120 its reverse (210424), we get a palindrome (4450544).

The spelling of 4240120 in words is "four million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 1493 2840 2986 5972 7465 11944 14930 29860 59720 106003 212006 424012 530015 848024 1060030 2120060 4240120