Search a number
-
+
14081580 = 2233589293
BaseRepresentation
bin110101101101…
…111000101100
3222111102022000
4311231320230
512101102310
61221452300
7230456112
oct65557054
928442260
1014081580
117a48777
124871090
132bc05c6
141c27ab2
1513824c0
hexd6de2c

14081580 has 96 divisors (see below), whose sum is σ = 44452800. Its totient is φ = 3700224.

The previous prime is 14081579. The next prime is 14081581. The reversal of 14081580 is 8518041.

14081580 is a `hidden beast` number, since 1 + 4 + 0 + 81 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (14081579) and next prime (14081581).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14081581) 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, 47914 + ... + 48206.

It is an arithmetic number, because the mean of its divisors is an integer number (463050).

Almost surely, 214081580 is an apocalyptic number.

14081580 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 14081580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22226400).

14081580 is an abundant number, since it is smaller than the sum of its proper divisors (30371220).

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

14081580 is a wasteful number, since it uses less digits than its factorization.

14081580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 14081580 is about 3752.5431376601. The cubic root of 14081580 is about 241.4814614835.

The spelling of 14081580 in words is "fourteen million, eighty-one thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 89 90 108 135 178 180 267 270 293 356 445 534 540 586 801 879 890 1068 1172 1335 1465 1602 1758 1780 2403 2637 2670 2930 3204 3516 4005 4395 4806 5274 5340 5860 7911 8010 8790 9612 10548 12015 13185 15822 16020 17580 24030 26077 26370 31644 39555 48060 52154 52740 78231 79110 104308 130385 156462 158220 234693 260770 312924 391155 469386 521540 704079 782310 938772 1173465 1408158 1564620 2346930 2816316 3520395 4693860 7040790 14081580