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161141400 = 2334527329
BaseRepresentation
bin10011001101011…
…01001010011000
3102020012211110000
421212231022120
5312223011100
623553453000
73664452000
oct1146551230
9366184400
10161141400
1182a61a12
1245b71160
1327500154
1417589000
15e230900
hex99ad298

161141400 has 480 divisors, whose sum is σ = 675180000. Its totient is φ = 35562240.

The previous prime is 161141377. The next prime is 161141411. The reversal of 161141400 is 4141161.

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 5556586 + ... + 5556614.

It is an arithmetic number, because the mean of its divisors is an integer number (1406625).

Almost surely, 2161141400 is an apocalyptic number.

161141400 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 161141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337590000).

161141400 is an abundant number, since it is smaller than the sum of its proper divisors (514038600).

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

161141400 is a wasteful number, since it uses less digits than its factorization.

161141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

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

The square root of 161141400 is about 12694.1482581542. The cubic root of 161141400 is about 544.1713974773.

Adding to 161141400 its reverse (4141161), we get a palindrome (165282561).

The spelling of 161141400 in words is "one hundred sixty-one million, one hundred forty-one thousand, four hundred".