Search a number
-
+
18729060 = 22357192347
BaseRepresentation
bin100011101110…
…0100001100100
31022020112102220
41013130201210
514243312220
61505232340
7315123450
oct107344144
938215386
1018729060
11a632469
1263326b0
133b59aac
1426b7660
15199e540
hex11dc864

18729060 has 96 divisors (see below), whose sum is σ = 63114240. Its totient is φ = 4053888.

The previous prime is 18729059. The next prime is 18729091. The reversal of 18729060 is 6092781.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6807 + ... + 9153.

It is an arithmetic number, because the mean of its divisors is an integer number (657440).

Almost surely, 218729060 is an apocalyptic number.

18729060 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 18729060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31557120).

18729060 is an abundant number, since it is smaller than the sum of its proper divisors (44385180).

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

18729060 is a wasteful number, since it uses less digits than its factorization.

18729060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 18729060 is about 4327.7084005279. The cubic root of 18729060 is about 265.5657073655.

The spelling of 18729060 in words is "eighteen million, seven hundred twenty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2347 2660 3990 4694 7041 7980 9388 11735 14082 16429 23470 28164 32858 35205 44593 46940 49287 65716 70410 82145 89186 98574 133779 140820 164290 178372 197148 222965 246435 267558 312151 328580 445930 492870 535116 624302 668895 891860 936453 985740 1248604 1337790 1560755 1872906 2675580 3121510 3745812 4682265 6243020 9364530 18729060