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15132040 = 235711173
BaseRepresentation
bin111001101110…
…010110001000
31001110210020221
4321232112020
512333211130
61300155424
7242422510
oct71562610
931423227
1015132040
1185a5a20
125098b74
13319a791
14201c840
1514dd87a
hexe6e588

15132040 has 128 divisors (see below), whose sum is σ = 45100800. Its totient is φ = 4439040.

The previous prime is 15132031. The next prime is 15132043. The reversal of 15132040 is 4023151.

15132040 = T441 + T442 + ... + T560.

15132040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (15132043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890112 + ... + 890128.

It is an arithmetic number, because the mean of its divisors is an integer number (352350).

Almost surely, 215132040 is an apocalyptic number.

15132040 is a gapful number since it is divisible by the number (10) 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 15132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22550400).

15132040 is an abundant number, since it is smaller than the sum of its proper divisors (29968760).

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

15132040 is a wasteful number, since it uses less digits than its factorization.

15132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 15132040 is about 3889.9922879101. The cubic root of 15132040 is about 247.3427358589.

Adding to 15132040 its reverse (4023151), we get a palindrome (19155191).

Subtracting from 15132040 its reverse (4023151), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1513 and 2040, that added together give a palindrome (3553).

The spelling of 15132040 in words is "fifteen million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 136 140 154 170 187 220 238 280 289 308 340 374 385 440 476 578 595 616 680 748 770 935 952 1156 1190 1309 1445 1496 1540 1870 2023 2312 2380 2618 2890 3080 3179 3740 4046 4760 4913 5236 5780 6358 6545 7480 8092 9826 10115 10472 11560 12716 13090 15895 16184 19652 20230 22253 24565 25432 26180 31790 34391 39304 40460 44506 49130 52360 54043 63580 68782 80920 89012 98260 108086 111265 127160 137564 171955 178024 196520 216172 222530 270215 275128 343910 378301 432344 445060 540430 687820 756602 890120 1080860 1375640 1513204 1891505 2161720 3026408 3783010 7566020 15132040