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164302096 = 2472209569
BaseRepresentation
bin10011100101100…
…00110100010000
3102110011102002211
421302300310100
5314030131341
624145321504
74033354600
oct1162606420
9373142084
10164302096
1184820662
1247036294
132806899a
1417b6cc00
15e657181
hex9cb0d10

164302096 has 30 divisors (see below), whose sum is σ = 370310190. Its totient is φ = 70414848.

The previous prime is 164302091. The next prime is 164302123. The reversal of 164302096 is 690203461.

It can be written as a sum of positive squares in only one way, i.e., 87984400 + 76317696 = 9380^2 + 8736^2 .

It is not an unprimeable number, because it can be changed into a prime (164302091) 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 5 ways as a sum of consecutive naturals, for example, 104001 + ... + 105568.

It is an arithmetic number, because the mean of its divisors is an integer number (12343673).

Almost surely, 2164302096 is an apocalyptic number.

164302096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164302096 is an abundant number, since it is smaller than the sum of its proper divisors (206008094).

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

164302096 is a wasteful number, since it uses less digits than its factorization.

164302096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209591 (or 209578 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 164302096 is about 12818.0379153753. The cubic root of 164302096 is about 547.7062556294.

The spelling of 164302096 in words is "one hundred sixty-four million, three hundred two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 209569 419138 838276 1466983 1676552 2933966 3353104 5867932 10268881 11735864 20537762 23471728 41075524 82151048 164302096