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181668096 = 28348761
BaseRepresentation
bin10101101010000…
…00100100000000
3110122211200210000
422311000210000
5333001334341
630005440000
74334103411
oct1265004400
9418750700
10181668096
1193601a25
1250a10000
132b83921c
141a1ad808
1510e378b6
hexad40900

181668096 has 90 divisors (see below), whose sum is σ = 541763222. Its totient is φ = 60549120.

The previous prime is 181668083. The next prime is 181668107. The reversal of 181668096 is 690866181.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 116640000 + 65028096 = 10800^2 + 8064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16356 + ... + 25116.

Almost surely, 2181668096 is an apocalyptic number.

181668096 is a gapful number since it is divisible by the number (16) 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 181668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270881611).

181668096 is an abundant number, since it is smaller than the sum of its proper divisors (360095126).

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

181668096 is an frugal number, since it uses more digits than its factorization.

181668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789 (or 8766 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 181668096 is about 13478.4307691956. The cubic root of 181668096 is about 566.3604109072.

It can be divided in two parts, 18166 and 8096, that added together give a palindrome (26262).

The spelling of 181668096 in words is "one hundred eighty-one million, six hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 8761 10368 17522 20736 26283 35044 52566 70088 78849 105132 140176 157698 210264 236547 280352 315396 420528 473094 560704 630792 709641 841056 946188 1121408 1261584 1419282 1682112 1892376 2242816 2523168 2838564 3364224 3784752 5046336 5677128 6728448 7569504 10092672 11354256 15139008 20185344 22708512 30278016 45417024 60556032 90834048 181668096