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5141520 = 2432537193
BaseRepresentation
bin10011100111010000010000
3100200012211200
4103213100100
52304012040
6302111200
761462566
oct23472020
910605750
105141520
1129a199a
12187b500
1310b0327
1497ba36
156b8630
hex4e7410

5141520 has 120 divisors (see below), whose sum is σ = 17825496. Its totient is φ = 1327104.

The previous prime is 5141519. The next prime is 5141527. The reversal of 5141520 is 251415.

5141520 is a `hidden beast` number, since 5 + 141 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 4309776 = 912^2 + 2076^2 .

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 a junction number, because it is equal to n+sod(n) for n = 5141493 and 5141502.

It is not an unprimeable number, because it can be changed into a prime (5141527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26544 + ... + 26736.

Almost surely, 25141520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8912748).

5141520 is an abundant number, since it is smaller than the sum of its proper divisors (12683976).

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

5141520 is a wasteful number, since it uses less digits than its factorization.

5141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5141520 is about 2267.4920066011. The cubic root of 5141520 is about 172.5959138936.

Adding to 5141520 its reverse (251415), we get a palindrome (5392935).

The spelling of 5141520 in words is "five million, one hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 193 222 240 296 333 360 370 386 444 555 579 592 666 720 740 772 888 965 1110 1158 1332 1480 1544 1665 1737 1776 1930 2220 2316 2664 2895 2960 3088 3330 3474 3860 4440 4632 5328 5790 6660 6948 7141 7720 8685 8880 9264 11580 13320 13896 14282 15440 17370 21423 23160 26640 27792 28564 34740 35705 42846 46320 57128 64269 69480 71410 85692 107115 114256 128538 138960 142820 171384 214230 257076 285640 321345 342768 428460 514152 571280 642690 856920 1028304 1285380 1713840 2570760 5141520