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161134272 = 263513797
BaseRepresentation
bin10011001101010…
…11011011000000
3102020012110200000
421212223123000
5312222244042
623553400000
73664422135
oct1146533300
9366173600
10161134272
1182a57622
1245b69000
13274c9b30
141758658c
15e22d74c
hex99ab6c0

161134272 has 168 divisors, whose sum is σ = 516459216. Its totient is φ = 49517568.

The previous prime is 161134261. The next prime is 161134301. The reversal of 161134272 is 272431161.

161134272 is a `hidden beast` number, since 1 + 611 + 3 + 42 + 7 + 2 = 666.

It is a super-2 number, since 2×1611342722 = 51928507225939968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 201778 + ... + 202574.

It is an arithmetic number, because the mean of its divisors is an integer number (3074162).

Almost surely, 2161134272 is an apocalyptic number.

161134272 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 161134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258229608).

161134272 is an abundant number, since it is smaller than the sum of its proper divisors (355324944).

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

161134272 is an equidigital number, since it uses as much as digits as its factorization.

161134272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 815 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 161134272 is about 12693.8674957635. The cubic root of 161134272 is about 544.1633736529.

The spelling of 161134272 in words is "one hundred sixty-one million, one hundred thirty-four thousand, two hundred seventy-two".