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161416040 = 2354035401
BaseRepresentation
bin10011001111100…
…00001101101000
3102020201210011212
421213300031220
5312310303130
624003412252
74000004462
oct1147601550
9366653155
10161416040
118312a295
1246084088
1327598166
141761b132
15e286e95
hex99f0368

161416040 has 16 divisors (see below), whose sum is σ = 363186180. Its totient is φ = 64566400.

The previous prime is 161416033. The next prime is 161416043. The reversal of 161416040 is 40614161.

161416040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 150749284 + 10666756 = 12278^2 + 3266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 161415997 and 161416015.

It is not an unprimeable number, because it can be changed into a prime (161416043) 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 3 ways as a sum of consecutive naturals, for example, 2017661 + ... + 2017740.

Almost surely, 2161416040 is an apocalyptic number.

161416040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161416040 is an abundant number, since it is smaller than the sum of its proper divisors (201770140).

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

161416040 is a wasteful number, since it uses less digits than its factorization.

161416040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035412 (or 4035408 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 161416040 is about 12704.9612356748. The cubic root of 161416040 is about 544.4803733366.

The spelling of 161416040 in words is "one hundred sixty-one million, four hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 4035401 8070802 16141604 20177005 32283208 40354010 80708020 161416040