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4018240 = 26529433
BaseRepresentation
bin1111010101000001000000
321120010222201
433111001000
52012040430
6222042544
746103662
oct17250100
97503881
104018240
1122a4a66
121419454
13aa8c75
14768532
155458ca
hex3d5040

4018240 has 56 divisors (see below), whose sum is σ = 9921240. Its totient is φ = 1548288.

The previous prime is 4018207. The next prime is 4018243. The reversal of 4018240 is 428104.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 3968064 = 224^2 + 1992^2 .

It is a super-2 number, since 2×40182402 = 32292505395200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4018243) 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, 9064 + ... + 9496.

It is an arithmetic number, because the mean of its divisors is an integer number (177165).

Almost surely, 24018240 is an apocalyptic number.

4018240 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 4018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960620).

4018240 is an abundant number, since it is smaller than the sum of its proper divisors (5903000).

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

4018240 is a wasteful number, since it uses less digits than its factorization.

4018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4018240 is about 2004.5548134187. The cubic root of 4018240 is about 158.9810243299.

The spelling of 4018240 in words is "four million, eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 433 464 580 866 928 1160 1732 1856 2165 2320 3464 4330 4640 6928 8660 9280 12557 13856 17320 25114 27712 34640 50228 62785 69280 100456 125570 138560 200912 251140 401824 502280 803648 1004560 2009120 4018240