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181413020 = 22511537867
BaseRepresentation
bin10101101000000…
…10010010011100
3110122100201212202
422310002102130
5332420204040
630000151032
74331661635
oct1264022234
9418321782
10181413020
1193448318
1250908478
132b77a0a9
141a14488c
1510dd7015
hexad0249c

181413020 has 24 divisors (see below), whose sum is σ = 381346224. Its totient is φ = 72493056.

The previous prime is 181412999. The next prime is 181413049. The reversal of 181413020 is 20314181.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 181412983 and 181413001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19127 + ... + 26993.

It is an arithmetic number, because the mean of its divisors is an integer number (15889426).

Almost surely, 2181413020 is an apocalyptic number.

181413020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

181413020 is an abundant number, since it is smaller than the sum of its proper divisors (199933204).

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

181413020 is a wasteful number, since it uses less digits than its factorization.

181413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9029 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 181413020 is about 13468.9650678885. The cubic root of 181413020 is about 566.0952155363.

The spelling of 181413020 in words is "one hundred eighty-one million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 1153 2306 4612 5765 7867 11530 15734 23060 31468 39335 78670 157340 9070651 18141302 36282604 45353255 90706510 181413020