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181816040 = 23574315101
BaseRepresentation
bin10101101011001…
…00101011101000
3110200010012201102
422311210223220
5333021103130
630012540532
74335260630
oct1265445350
9420105642
10181816040
11936a309a
1250a81748
132b88b673
141a20b6c0
1510e66645
hexad64ae8

181816040 has 64 divisors (see below), whose sum is σ = 478431360. Its totient is φ = 60883200.

The previous prime is 181816021. The next prime is 181816043. The reversal of 181816040 is 40618181.

181816040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 181815994 and 181816012.

It is not an unprimeable number, because it can be changed into a prime (181816043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4490 + ... + 19590.

It is an arithmetic number, because the mean of its divisors is an integer number (7475490).

Almost surely, 2181816040 is an apocalyptic number.

181816040 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 181816040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239215680).

181816040 is an abundant number, since it is smaller than the sum of its proper divisors (296615320).

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

181816040 is a wasteful number, since it uses less digits than its factorization.

181816040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15162 (or 15158 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 181816040 is about 13483.9178282871. The cubic root of 181816040 is about 566.5141104132.

The spelling of 181816040 in words is "one hundred eighty-one million, eight hundred sixteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 6020 12040 15101 30202 60404 75505 105707 120808 151010 211414 302020 422828 528535 604040 649343 845656 1057070 1298686 2114140 2597372 3246715 4228280 4545401 5194744 6493430 9090802 12986860 18181604 22727005 25973720 36363208 45454010 90908020 181816040