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161323680 = 253572193
BaseRepresentation
bin10011001110110…
…01101010100000
3102020120002111010
421213121222200
5312244324210
624001420520
73666141300
oct1147315240
9366502433
10161323680
1183076961
124603a740
13275650cb
14175d5600
15e269920
hex99d9aa0

161323680 has 288 divisors, whose sum is σ = 623972160. Its totient is φ = 34933248.

The previous prime is 161323667. The next prime is 161323681. The reversal of 161323680 is 86323161.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (161323681) 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 47 ways as a sum of consecutive naturals, for example, 8490711 + ... + 8490729.

It is an arithmetic number, because the mean of its divisors is an integer number (2166570).

Almost surely, 2161323680 is an apocalyptic number.

161323680 is a gapful number since it is divisible by the number (10) 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 161323680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311986080).

161323680 is an abundant number, since it is smaller than the sum of its proper divisors (462648480).

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

161323680 is an equidigital number, since it uses as much as digits as its factorization.

161323680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 161323680 is about 12701.3259150374. The cubic root of 161323680 is about 544.3765055059.

The spelling of 161323680 in words is "one hundred sixty-one million, three hundred twenty-three thousand, six hundred eighty".