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181000420 = 22561148361
BaseRepresentation
bin10101100100111…
…01100011100100
3110121120202220021
422302131203210
5332314003140
625543244524
74325323006
oct1262354344
9417522807
10181000420
1193196327
1250749744
132b664353
141a078376
1510d54b4a
hexac9d8e4

181000420 has 24 divisors (see below), whose sum is σ = 386334648. Its totient is φ = 71212800.

The previous prime is 181000381. The next prime is 181000447. The reversal of 181000420 is 24000181.

It is a happy number.

181000420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 179935396 = 1032^2 + 13414^2 .

It is a super-2 number, since 2×1810004202 = 65522304080352800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 181000394 and 181000403.

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, 72961 + ... + 75400.

It is an arithmetic number, because the mean of its divisors is an integer number (16097277).

Almost surely, 2181000420 is an apocalyptic number.

181000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

181000420 is an abundant number, since it is smaller than the sum of its proper divisors (205334228).

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

181000420 is a wasteful number, since it uses less digits than its factorization.

181000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148431 (or 148429 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 181000420 is about 13453.6396562417. The cubic root of 181000420 is about 565.6657201131.

The spelling of 181000420 in words is "one hundred eighty-one million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 148361 296722 593444 741805 1483610 2967220 9050021 18100042 36200084 45250105 90500210 181000420