Search a number
-
+
18810060 = 2235372229
BaseRepresentation
bin100011111000…
…0010011001100
31022101122112220
41013300103030
514303410220
61511055340
7315611553
oct107602314
938348486
1018810060
11a688305
126371550
133b87919
1426d8d9a
1519b8540
hex11f04cc

18810060 has 72 divisors (see below), whose sum is σ = 54366480. Its totient is φ = 4859136.

The previous prime is 18809993. The next prime is 18810073. The reversal of 18810060 is 6001881.

It is a self number, because there is not a number n which added to its sum of digits gives 18810060.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 82026 + ... + 82254.

It is an arithmetic number, because the mean of its divisors is an integer number (755090).

Almost surely, 218810060 is an apocalyptic number.

18810060 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 18810060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27183240).

18810060 is an abundant number, since it is smaller than the sum of its proper divisors (35556420).

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

18810060 is a wasteful number, since it uses less digits than its factorization.

18810060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 18810060 is about 4337.0566055794. The cubic root of 18810060 is about 265.9479989554.

The spelling of 18810060 in words is "eighteen million, eight hundred ten thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 229 370 444 458 555 687 740 916 1110 1145 1369 1374 2220 2290 2738 2748 3435 4107 4580 5476 6845 6870 8214 8473 13690 13740 16428 16946 20535 25419 27380 33892 41070 42365 50838 82140 84730 101676 127095 169460 254190 313501 508380 627002 940503 1254004 1567505 1881006 3135010 3762012 4702515 6270020 9405030 18810060