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181801420 = 22543593583
BaseRepresentation
bin10101101011000…
…01000111001100
3110200002110122221
422311201013030
5333020121140
630012345124
74335200203
oct1265410714
9420073587
10181801420
1193693109
1250a751a4
132b884b08
141a20623a
1510e6214a
hexad611cc

181801420 has 48 divisors (see below), whose sum is σ = 397393920. Its totient is φ = 69806016.

The previous prime is 181801363. The next prime is 181801423. The reversal of 181801420 is 24108181.

181801420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (181801423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48949 + ... + 52531.

It is an arithmetic number, because the mean of its divisors is an integer number (8279040).

Almost surely, 2181801420 is an apocalyptic number.

181801420 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 181801420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198696960).

181801420 is an abundant number, since it is smaller than the sum of its proper divisors (215592500).

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

181801420 is a wasteful number, since it uses less digits than its factorization.

181801420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 181801420 is about 13483.3756900859. The cubic root of 181801420 is about 566.4989253607.

It can be divided in two parts, 18180 and 1420, that added together give a square (19600 = 1402).

The spelling of 181801420 in words is "one hundred eighty-one million, eight hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 59 86 118 172 215 236 295 430 590 860 1180 2537 3583 5074 7166 10148 12685 14332 17915 25370 35830 50740 71660 154069 211397 308138 422794 616276 770345 845588 1056985 1540690 2113970 3081380 4227940 9090071 18180142 36360284 45450355 90900710 181801420