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182664040 = 235132912113
BaseRepresentation
bin10101110001100…
…11101101101000
3110201201021221211
422320303231220
5333230222130
630043042504
74345422136
oct1270635550
9421637854
10182664040
1194122219
1251210434
132bac7640
141a38c756
1511082a2a
hexae33b68

182664040 has 64 divisors (see below), whose sum is σ = 457909200. Its totient is φ = 65114112.

The previous prime is 182664019. The next prime is 182664077. The reversal of 182664040 is 40466281.

It can be written as a sum of positive squares in 8 ways, for example, as 32012964 + 150651076 = 5658^2 + 12274^2 .

It is a junction number, because it is equal to n+sod(n) for n = 182663993 and 182664011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9024 + ... + 21136.

Almost surely, 2182664040 is an apocalyptic number.

182664040 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 182664040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228954600).

182664040 is an abundant number, since it is smaller than the sum of its proper divisors (275245160).

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

182664040 is a wasteful number, since it uses less digits than its factorization.

182664040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12166 (or 12162 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 182664040 is about 13515.3261151923. The cubic root of 182664040 is about 567.3934956388.

The spelling of 182664040 in words is "one hundred eighty-two million, six hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 7540 12113 15080 24226 48452 60565 96904 121130 157469 242260 314938 351277 484520 629876 702554 787345 1259752 1405108 1574690 1756385 2810216 3149380 3512770 4566601 6298760 7025540 9133202 14051080 18266404 22833005 36532808 45666010 91332020 182664040