Search a number
-
+
18258380 = 2257231601
BaseRepresentation
bin100010110100…
…1100111001100
31021100121210022
41011221213030
514133232010
61451201312
7311123300
oct105514714
937317708
1018258380
11a340878
126146238
133a2379a
1425d3d00
151909d55
hex11699cc

18258380 has 72 divisors (see below), whose sum is σ = 46118016. Its totient is φ = 6048000.

The previous prime is 18258377. The next prime is 18258403. The reversal of 18258380 is 8385281.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 18258380.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30080 + ... + 30680.

It is an arithmetic number, because the mean of its divisors is an integer number (640528).

Almost surely, 218258380 is an apocalyptic number.

18258380 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 18258380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23059008).

18258380 is an abundant number, since it is smaller than the sum of its proper divisors (27859636).

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

18258380 is a wasteful number, since it uses less digits than its factorization.

18258380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 18258380 is about 4272.9825649071. The cubic root of 18258380 is about 263.3221629971.

The spelling of 18258380 in words is "eighteen million, two hundred fifty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 601 620 868 980 1085 1202 1519 2170 2404 3005 3038 4207 4340 6010 6076 7595 8414 12020 15190 16828 18631 21035 29449 30380 37262 42070 58898 74524 84140 93155 117796 130417 147245 186310 260834 294490 372620 521668 588980 652085 912919 1304170 1825838 2608340 3651676 4564595 9129190 18258380