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4278240 = 253252971
BaseRepresentation
bin10000010100011111100000
322001100122100
4100110133200
52043400430
6231410400
751236001
oct20243740
98040570
104278240
11246233a
121523a00
13b6a405
147d51a8
15597960
hex4147e0

4278240 has 72 divisors (see below), whose sum is σ = 14604408. Its totient is φ = 1140480.

The previous prime is 4278233. The next prime is 4278257. The reversal of 4278240 is 428724.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46 + ... + 2925.

It is an arithmetic number, because the mean of its divisors is an integer number (202839).

Almost surely, 24278240 is an apocalyptic number.

4278240 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 4278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302204).

4278240 is an abundant number, since it is smaller than the sum of its proper divisors (10326168).

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

4278240 is a wasteful number, since it uses less digits than its factorization.

4278240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4278240 is about 2068.3906787645. The cubic root of 4278240 is about 162.3385694680.

Adding to 4278240 its product of nonzero digits (3584), we get a palindrome (4281824).

The spelling of 4278240 in words is "four million, two hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2971 5942 8913 11884 14855 17826 23768 26739 29710 35652 44565 47536 53478 59420 71304 89130 95072 106956 118840 133695 142608 178260 213912 237680 267390 285216 356520 427824 475360 534780 713040 855648 1069560 1426080 2139120 4278240