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182979040 = 2551143619
BaseRepresentation
bin10101110100000…
…00100111100000
3110202022022001111
422322000213200
5333320312130
630053513104
74351203406
oct1272004740
9422268044
10182979040
1194317952
1251342794
132bba7b2a
141a431476
15110e602a
hexae809e0

182979040 has 24 divisors (see below), whose sum is σ = 432288360. Its totient is φ = 73191552.

The previous prime is 182978969. The next prime is 182979047. The reversal of 182979040 is 40979281.

182979040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 182978984 and 182979002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182979047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 571650 + ... + 571969.

It is an arithmetic number, because the mean of its divisors is an integer number (18012015).

Almost surely, 2182979040 is an apocalyptic number.

182979040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

182979040 is an abundant number, since it is smaller than the sum of its proper divisors (249309320).

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

182979040 is a wasteful number, since it uses less digits than its factorization.

182979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143634 (or 1143626 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 182979040 is about 13526.9745323927. The cubic root of 182979040 is about 567.7194607483.

The spelling of 182979040 in words is "one hundred eighty-two million, nine hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1143619 2287238 4574476 5718095 9148952 11436190 18297904 22872380 36595808 45744760 91489520 182979040