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182130336 = 2533712969
BaseRepresentation
bin10101101101100…
…01011010100000
3110200201011212000
422312301122200
5333111132321
630023404000
74341040143
oct1266613240
9420634760
10182130336
1193898243
1250bb3600
132b96b73b
141a29005a
1510ec9826
hexadb16a0

182130336 has 96 divisors (see below), whose sum is σ = 538876800. Its totient is φ = 59834880.

The previous prime is 182130331. The next prime is 182130359. The reversal of 182130336 is 633031281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182130331) 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 15 ways as a sum of consecutive naturals, for example, 59860 + ... + 62828.

It is an arithmetic number, because the mean of its divisors is an integer number (5613300).

Almost surely, 2182130336 is an apocalyptic number.

182130336 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 182130336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269438400).

182130336 is an abundant number, since it is smaller than the sum of its proper divisors (356746464).

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

182130336 is a wasteful number, since it uses less digits than its factorization.

182130336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 182130336 is about 13495.5672722565. The cubic root of 182130336 is about 566.8403570600.

The spelling of 182130336 in words is "one hundred eighty-two million, one hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 2969 3408 3834 5112 5938 6816 7668 8907 10224 11876 15336 17814 20448 23752 26721 30672 35628 47504 53442 61344 71256 80163 95008 106884 142512 160326 210799 213768 285024 320652 421598 427536 632397 641304 843196 855072 1264794 1282608 1686392 1897191 2529588 2565216 3372784 3794382 5059176 5691573 6745568 7588764 10118352 11383146 15177528 20236704 22766292 30355056 45532584 60710112 91065168 182130336