Search a number
-
+
18142240 = 255149761
BaseRepresentation
bin100010100110…
…1010000100000
31021010201110211
41011031100200
514121022430
61444503504
7310130554
oct105152040
937121424
1018142240
11a271596
1260aab94
1339b296c
1425a3864
1518d572a
hex114d420

18142240 has 48 divisors (see below), whose sum is σ = 43205400. Its totient is φ = 7198720.

The previous prime is 18142231. The next prime is 18142253. The reversal of 18142240 is 4224181.

It can be written as a sum of positive squares in 4 ways, for example, as 4511376 + 13630864 = 2124^2 + 3692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23460 + ... + 24220.

Almost surely, 218142240 is an apocalyptic number.

18142240 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 18142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21602700).

18142240 is an abundant number, since it is smaller than the sum of its proper divisors (25063160).

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

18142240 is a wasteful number, since it uses less digits than its factorization.

18142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 18142240 is about 4259.3708455592. The cubic root of 18142240 is about 262.7626516969.

The spelling of 18142240 in words is "eighteen million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 298 596 745 761 1192 1490 1522 2384 2980 3044 3805 4768 5960 6088 7610 11920 12176 15220 23840 24352 30440 60880 113389 121760 226778 453556 566945 907112 1133890 1814224 2267780 3628448 4535560 9071120 18142240