Search a number
-
+
161046000 = 24325323389
BaseRepresentation
bin10011001100101…
…01110111110000
3102020000222120200
421212111313300
5312211433000
623551435200
73663603603
oct1146256760
9366028520
10161046000
11829a7275
1245b25b00
13274988bb
141756233a
15e212500
hex9995df0

161046000 has 240 divisors, whose sum is σ = 588444480. Its totient is φ = 40972800.

The previous prime is 161045999. The next prime is 161046001. The reversal of 161046000 is 640161.

161046000 is a `hidden beast` number, since 1 + 61 + 0 + 4 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161045999) and next prime (161046001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161046001) 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, 413806 + ... + 414194.

It is an arithmetic number, because the mean of its divisors is an integer number (2451852).

Almost surely, 2161046000 is an apocalyptic number.

161046000 is a gapful number since it is divisible by the number (10) 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 161046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294222240).

161046000 is an abundant number, since it is smaller than the sum of its proper divisors (427398480).

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

161046000 is a wasteful number, since it uses less digits than its factorization.

161046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 161046000 is about 12690.3900649271. The cubic root of 161046000 is about 544.0639882920.

Adding to 161046000 its reverse (640161), we get a palindrome (161686161).

The spelling of 161046000 in words is "one hundred sixty-one million, forty-six thousand".