Search a number
-
+
4131360 = 2532519151
BaseRepresentation
bin1111110000101000100000
321202220011100
433300220200
52024200420
6224314400
750054532
oct17605040
97686140
104131360
112371a52
121472a00
13b185bc
14797852
15569190
hex3f0a20

4131360 has 144 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1036800.

The previous prime is 4131353. The next prime is 4131367. The reversal of 4131360 is 631314.

It is an interprime number because it is at equal distance from previous prime (4131353) and next prime (4131367).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (4131367) 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, 27285 + ... + 27435.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

Almost surely, 24131360 is an apocalyptic number.

4131360 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 4131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

4131360 is an abundant number, since it is smaller than the sum of its proper divisors (10807200).

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

4131360 is a wasteful number, since it uses less digits than its factorization.

4131360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4131360 is about 2032.5747218737. The cubic root of 4131360 is about 160.4590980876.

Adding to 4131360 its reverse (631314), we get a palindrome (4762674).

The spelling of 4131360 in words is "four million, one hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 151 152 160 171 180 190 228 240 285 288 302 304 342 360 380 453 456 480 570 604 608 684 720 755 760 855 906 912 1140 1208 1359 1368 1440 1510 1520 1710 1812 1824 2265 2280 2416 2718 2736 2869 3020 3040 3420 3624 4530 4560 4832 5436 5472 5738 6040 6795 6840 7248 8607 9060 9120 10872 11476 12080 13590 13680 14345 14496 17214 18120 21744 22952 24160 25821 27180 27360 28690 34428 36240 43035 43488 45904 51642 54360 57380 68856 72480 86070 91808 103284 108720 114760 129105 137712 172140 206568 217440 229520 258210 275424 344280 413136 459040 516420 688560 826272 1032840 1377120 2065680 4131360