Search a number
-
+
161416864 = 257720611
BaseRepresentation
bin10011001111100…
…00011010100000
3102020201211022101
421213300122200
5312310314424
624003420144
74000010050
oct1147603240
9366654271
10161416864
118312a974
1246084654
132759864b
141761b560
15e287344
hex99f06a0

161416864 has 24 divisors (see below), whose sum is σ = 363188448. Its totient is φ = 69178560.

The previous prime is 161416859. The next prime is 161416889. The reversal of 161416864 is 468614161.

161416864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360082 + ... + 360529.

It is an arithmetic number, because the mean of its divisors is an integer number (15132852).

Almost surely, 2161416864 is an apocalyptic number.

161416864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

161416864 is an abundant number, since it is smaller than the sum of its proper divisors (201771584).

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

161416864 is an equidigital number, since it uses as much as digits as its factorization.

161416864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720628 (or 720620 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 161416864 is about 12704.9936639103. The cubic root of 161416864 is about 544.4812998266.

It can be divided in two parts, 16141 and 6864, that added together give a triangular number (23005 = T214).

The spelling of 161416864 in words is "one hundred sixty-one million, four hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 720611 1441222 2882444 5044277 5764888 10088554 11529776 20177108 23059552 40354216 80708432 161416864