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18132660 = 2235571341
BaseRepresentation
bin100010100101…
…0111010110100
31021010020100000
41011022322310
514120221120
61444351300
7310060620
oct105127264
937106300
1018132660
11a265377
1260a5530
1339ab4b0
1425a0180
1518d2990
hex114aeb4

18132660 has 288 divisors, whose sum is σ = 71914752. Its totient is φ = 3732480.

The previous prime is 18132643. The next prime is 18132661. The reversal of 18132660 is 6623181.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18132661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442240 + ... + 442280.

It is an arithmetic number, because the mean of its divisors is an integer number (249704).

Almost surely, 218132660 is an apocalyptic number.

18132660 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 18132660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35957376).

18132660 is an abundant number, since it is smaller than the sum of its proper divisors (53782092).

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

18132660 is a wasteful number, since it uses less digits than its factorization.

18132660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 18132660 is about 4258.2461178283. The cubic root of 18132660 is about 262.7163929951.

The spelling of 18132660 in words is "eighteen million, one hundred thirty-two thousand, six hundred sixty".