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4523040 = 25345349
BaseRepresentation
bin10001010000010000100000
322111210110000
4101100100200
52124214130
6240540000
753305464
oct21202040
98453400
104523040
11260a255
121621600
13c24972
1485a4a4
155e5260
hex450420

4523040 has 120 divisors (see below), whose sum is σ = 16008300. Its totient is φ = 1202688.

The previous prime is 4523027. The next prime is 4523053. The reversal of 4523040 is 403254.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4523027) and next prime (4523053).

It can be written as a sum of positive squares in 2 ways, for example, as 4511376 + 11664 = 2124^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12786 + ... + 13134.

Almost surely, 24523040 is an apocalyptic number.

4523040 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 4523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8004150).

4523040 is an abundant number, since it is smaller than the sum of its proper divisors (11485260).

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

4523040 is a wasteful number, since it uses less digits than its factorization.

4523040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4523040 is about 2126.7439902348. The cubic root of 4523040 is about 165.3776473885.

Adding to 4523040 its reverse (403254), we get a palindrome (4926294).

The spelling of 4523040 in words is "four million, five hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 349 360 405 432 480 540 648 698 720 810 864 1047 1080 1296 1396 1440 1620 1745 2094 2160 2592 2792 3141 3240 3490 4188 4320 5235 5584 6282 6480 6980 8376 9423 10470 11168 12564 12960 13960 15705 16752 18846 20940 25128 27920 28269 31410 33504 37692 41880 47115 50256 55840 56538 62820 75384 83760 94230 100512 113076 125640 141345 150768 167520 188460 226152 251280 282690 301536 376920 452304 502560 565380 753840 904608 1130760 1507680 2261520 4523040