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181812096 = 2732157823
BaseRepresentation
bin10101101011000…
…11101110000000
3110200010000022100
422311203232000
5333020441341
630012510400
74335243264
oct1265435600
9420100270
10181812096
11936a0134
1250a7b400
132b88992b
141a20a0a4
1510e653b6
hexad63b80

181812096 has 48 divisors (see below), whose sum is σ = 523186560. Its totient is φ = 60603648.

The previous prime is 181812091. The next prime is 181812119. The reversal of 181812096 is 690218181.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 181812096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181812091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77760 + ... + 80063.

It is an arithmetic number, because the mean of its divisors is an integer number (10899720).

Almost surely, 2181812096 is an apocalyptic number.

181812096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

181812096 is an abundant number, since it is smaller than the sum of its proper divisors (341374464).

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

181812096 is a wasteful number, since it uses less digits than its factorization.

181812096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157843 (or 157828 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 181812096 is about 13483.7715791985. The cubic root of 181812096 is about 566.5100140606.

The spelling of 181812096 in words is "one hundred eighty-one million, eight hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 157823 315646 473469 631292 946938 1262584 1420407 1893876 2525168 2840814 3787752 5050336 5681628 7575504 10100672 11363256 15151008 20201344 22726512 30302016 45453024 60604032 90906048 181812096