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4570240 = 27537193
BaseRepresentation
bin10001011011110010000000
322121012012011
4101123302000
52132221430
6241542304
753563213
oct21336200
98535164
104570240
112641764
121644994
13c402ac
1486d77a
1560422a
hex45bc80

4570240 has 64 divisors (see below), whose sum is σ = 11279160. Its totient is φ = 1769472.

The previous prime is 4570219. The next prime is 4570249. The reversal of 4570240 is 420754.

It can be written as a sum of positive squares in 4 ways, for example, as 3968064 + 602176 = 1992^2 + 776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4570249) 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, 23584 + ... + 23776.

Almost surely, 24570240 is an apocalyptic number.

4570240 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 4570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639580).

4570240 is an abundant number, since it is smaller than the sum of its proper divisors (6708920).

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

4570240 is a wasteful number, since it uses less digits than its factorization.

4570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 4570240 is about 2137.8119655386. The cubic root of 4570240 is about 165.9509217666.

Adding to 4570240 its reverse (420754), we get a palindrome (4990994).

The spelling of 4570240 in words is "four million, five hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 193 296 320 370 386 592 640 740 772 965 1184 1480 1544 1930 2368 2960 3088 3860 4736 5920 6176 7141 7720 11840 12352 14282 15440 23680 24704 28564 30880 35705 57128 61760 71410 114256 123520 142820 228512 285640 457024 571280 914048 1142560 2285120 4570240