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182000016 = 243211891291
BaseRepresentation
bin10101101100100…
…01100110010000
3110200110120002100
422312101212100
5333043000031
630020520400
74336655202
oct1266214620
9420416070
10182000016
1193809340
1250b50100
132b924323
141a258772
1510ea0de6
hexad91990

182000016 has 120 divisors (see below), whose sum is σ = 562330080. Its totient is φ = 54489600.

The previous prime is 181999991. The next prime is 182000029. The reversal of 182000016 is 610000281.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140331 + ... + 141621.

It is an arithmetic number, because the mean of its divisors is an integer number (4686084).

Almost surely, 2182000016 is an apocalyptic number.

182000016 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 182000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281165040).

182000016 is an abundant number, since it is smaller than the sum of its proper divisors (380330064).

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

182000016 is a wasteful number, since it uses less digits than its factorization.

182000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 182000016 is about 13490.7381562315. The cubic root of 182000016 is about 566.7051274164.

Adding to 182000016 its reverse (610000281), we get a palindrome (792000297).

The spelling of 182000016 in words is "one hundred eighty-two million, sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 89 99 132 144 176 178 198 264 267 356 396 528 534 712 792 801 979 1068 1291 1424 1584 1602 1958 2136 2582 2937 3204 3873 3916 4272 5164 5874 6408 7746 7832 8811 10328 11619 11748 12816 14201 15492 15664 17622 20656 23238 23496 28402 30984 35244 42603 46476 46992 56804 61968 70488 85206 92952 113608 114899 127809 140976 170412 185904 227216 229798 255618 340824 344697 459596 511236 681648 689394 919192 1022472 1034091 1263889 1378788 1838384 2044944 2068182 2527778 2757576 3791667 4136364 5055556 5515152 7583334 8272728 10111112 11375001 15166668 16545456 20222224 22750002 30333336 45500004 60666672 91000008 182000016