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161326872 = 233271719991
BaseRepresentation
bin10011001110110…
…10011100011000
3102020120020212100
421213122130120
5312244424442
624001443400
73666153510
oct1147323430
9366506770
10161326872
11830792a3
1246040560
13275666b5
14175d6840
15e26a84c
hex99da718

161326872 has 192 divisors, whose sum is σ = 557107200. Its totient is φ = 41057280.

The previous prime is 161326871. The next prime is 161326901. The reversal of 161326872 is 278623161.

161326872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161326871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162297 + ... + 163287.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2161326872 is an apocalyptic number.

161326872 is a gapful number since it is divisible by the number (12) 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 161326872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278553600).

161326872 is an abundant number, since it is smaller than the sum of its proper divisors (395780328).

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

161326872 is a wasteful number, since it uses less digits than its factorization.

161326872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1039 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 161326872 is about 12701.4515705883. The cubic root of 161326872 is about 544.3800958826.

The spelling of 161326872 in words is "one hundred sixty-one million, three hundred twenty-six thousand, eight hundred seventy-two".