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182000970 = 23252022233
BaseRepresentation
bin10101101100100…
…01110101001010
3110200110121101200
422312101311022
5333043012340
630020525030
74336661034
oct1266216512
9420417350
10182000970
119380a028
1250b50776
132b9248a8
141a258c54
1510ea1330
hexad91d4a

182000970 has 24 divisors (see below), whose sum is σ = 473202756. Its totient is φ = 48533568.

The previous prime is 182000953. The next prime is 182000971. The reversal of 182000970 is 79000281.

182000970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 177502329 + 4498641 = 13323^2 + 2121^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (182000971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1011027 + ... + 1011206.

Almost surely, 2182000970 is an apocalyptic number.

182000970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

182000970 is an abundant number, since it is smaller than the sum of its proper divisors (291201786).

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

182000970 is a wasteful number, since it uses less digits than its factorization.

182000970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022246 (or 2022243 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 182000970 is about 13490.7735137760. The cubic root of 182000970 is about 566.7061175917.

The spelling of 182000970 in words is "one hundred eighty-two million, nine hundred seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2022233 4044466 6066699 10111165 12133398 18200097 20222330 30333495 36400194 60666990 91000485 182000970