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4590240 = 253573131
BaseRepresentation
bin10001100000101010100000
322122012121220
4101200222200
52133341430
6242215040
754005424
oct21405240
98565556
104590240
112655796
121654480
13c49425
14876b84
1560a110
hex460aa0

4590240 has 96 divisors (see below), whose sum is σ = 14769216. Its totient is φ = 1198080.

The previous prime is 4590239. The next prime is 4590241. The reversal of 4590240 is 420954.

It is an interprime number because it is at equal distance from previous prime (4590239) and next prime (4590241).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4590240.

It is not an unprimeable number, because it can be changed into a prime (4590241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34975 + ... + 35105.

It is an arithmetic number, because the mean of its divisors is an integer number (153846).

Almost surely, 24590240 is an apocalyptic number.

4590240 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 4590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384608).

4590240 is an abundant number, since it is smaller than the sum of its proper divisors (10178976).

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

4590240 is a wasteful number, since it uses less digits than its factorization.

4590240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4590240 is about 2142.4845390341. The cubic root of 4590240 is about 166.1926442055.

The spelling of 4590240 in words is "four million, five hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 131 146 160 219 240 262 292 365 393 438 480 524 584 655 730 786 876 1048 1095 1168 1310 1460 1572 1752 1965 2096 2190 2336 2620 2920 3144 3504 3930 4192 4380 5240 5840 6288 7008 7860 8760 9563 10480 11680 12576 15720 17520 19126 20960 28689 31440 35040 38252 47815 57378 62880 76504 95630 114756 143445 153008 191260 229512 286890 306016 382520 459024 573780 765040 918048 1147560 1530080 2295120 4590240