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4027240 = 235719757
BaseRepresentation
bin1111010111001101101000
321120121100001
433113031220
52012332430
6222152344
746142140
oct17271550
97517301
104027240
1123007a8
1214226b4
13ab00a9
1476b920
155483ca
hex3d7368

4027240 has 64 divisors (see below), whose sum is σ = 10915200. Its totient is φ = 1306368.

The previous prime is 4027237. The next prime is 4027273. The reversal of 4027240 is 427204.

It is a super-3 number, since 3×40272403 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4942 + ... + 5698.

It is an arithmetic number, because the mean of its divisors is an integer number (170550).

Almost surely, 24027240 is an apocalyptic number.

4027240 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 4027240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457600).

4027240 is an abundant number, since it is smaller than the sum of its proper divisors (6887960).

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

4027240 is a wasteful number, since it uses less digits than its factorization.

4027240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 4027240 is about 2006.7984452854. The cubic root of 4027240 is about 159.0996303444.

The spelling of 4027240 in words is "four million, twenty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 757 760 1064 1330 1514 2660 3028 3785 5299 5320 6056 7570 10598 14383 15140 21196 26495 28766 30280 42392 52990 57532 71915 100681 105980 115064 143830 201362 211960 287660 402724 503405 575320 805448 1006810 2013620 4027240