Search a number
-
+
18575130 = 2357197449
BaseRepresentation
bin100011011011…
…0111100011010
31021221201021210
41012312330122
514223401010
61502043550
7313612620
oct106667432
937851253
1018575130
11a537852
1262795b6
133b04a02
142677510
15196db20
hex11b6f1a

18575130 has 64 divisors (see below), whose sum is σ = 51321600. Its totient is φ = 4214784.

The previous prime is 18575129. The next prime is 18575131. The reversal of 18575130 is 3157581.

It is an interprime number because it is at equal distance from previous prime (18575129) and next prime (18575131).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (18575131) 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, 41146 + ... + 41594.

It is an arithmetic number, because the mean of its divisors is an integer number (801900).

Almost surely, 218575130 is an apocalyptic number.

18575130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18575130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25660800).

18575130 is an abundant number, since it is smaller than the sum of its proper divisors (32746470).

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

18575130 is a wasteful number, since it uses less digits than its factorization.

18575130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663.

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 18575130 is about 4309.8874695286. The cubic root of 18575130 is about 264.8361631166.

The spelling of 18575130 in words is "eighteen million, five hundred seventy-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 197 210 394 449 591 898 985 1182 1347 1379 1970 2245 2694 2758 2955 3143 4137 4490 5910 6286 6735 6895 8274 9429 13470 13790 15715 18858 20685 31430 41370 47145 88453 94290 176906 265359 442265 530718 619171 884530 1238342 1326795 1857513 2653590 3095855 3715026 6191710 9287565 18575130