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181630098 = 232131136869
BaseRepresentation
bin10101101001101…
…11010010010010
3110122202202122200
422310313102102
5332444130343
630004544030
74333554546
oct1264672222
9418682580
10181630098
1193586421
12509b2016
132b824b40
141a19da26
1510e2b4d3
hexad37492

181630098 has 48 divisors (see below), whose sum is σ = 427616280. Its totient is φ = 55383552.

The previous prime is 181630093. The next prime is 181630109. The reversal of 181630098 is 890036181.

181630098 is a `hidden beast` number, since 18 + 1 + 630 + 0 + 9 + 8 = 666.

181630098 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 18378369 + 163251729 = 4287^2 + 12777^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (181630093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23008 + ... + 29876.

Almost surely, 2181630098 is an apocalyptic number.

181630098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 181630098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213808140).

181630098 is an abundant number, since it is smaller than the sum of its proper divisors (245986182).

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

181630098 is a wasteful number, since it uses less digits than its factorization.

181630098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7003 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 181630098 is about 13477.0211100228. The cubic root of 181630098 is about 566.3209211931.

The spelling of 181630098 in words is "one hundred eighty-one million, six hundred thirty thousand, ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2938 4407 6869 8814 13221 13738 20607 26442 41214 61821 89297 123642 178594 267891 535782 776197 803673 1552394 1607346 2328591 4657182 6985773 10090561 13971546 20181122 30271683 60543366 90815049 181630098