Search a number
-
+
161716464 = 243272134143
BaseRepresentation
bin10011010001110…
…01100011110000
3102021022001021200
421220321203300
5312344411324
624014051200
74002365400
oct1150714360
9367261250
10161716464
1183314a78
12461a9b00
1327671b20
1417698800
15e2e5ec9
hex9a398f0

161716464 has 360 divisors, whose sum is σ = 594305712. Its totient is φ = 40642560.

The previous prime is 161716459. The next prime is 161716469. The reversal of 161716464 is 464617161.

It is a happy number.

161716464 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 1 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (161716459) and next prime (161716469).

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 (161716469) 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 71 ways as a sum of consecutive naturals, for example, 3760827 + ... + 3760869.

Almost surely, 2161716464 is an apocalyptic number.

161716464 is a gapful number since it is divisible by the number (14) 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 161716464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297152856).

161716464 is an abundant number, since it is smaller than the sum of its proper divisors (432589248).

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

161716464 is a wasteful number, since it uses less digits than its factorization.

161716464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

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

The square root of 161716464 is about 12716.7788374258. The cubic root of 161716464 is about 544.8179556400.

It can be divided in two parts, 1617 and 16464, that added together give a palindrome (18081).

The spelling of 161716464 in words is "one hundred sixty-one million, seven hundred sixteen thousand, four hundred sixty-four".