Search a number
-
+
161968896 = 283473107
BaseRepresentation
bin10011010011101…
…11001100000000
3102021202212120000
421221313030000
5312431001041
624023320000
74004466345
oct1151671400
9367685500
10161968896
11834776a1
12462b0000
132772c9ab
14177227cc
15e345bb6
hex9a77300

161968896 has 180 divisors, whose sum is σ = 494153352. Its totient is φ = 52752384.

The previous prime is 161968871. The next prime is 161968897. The reversal of 161968896 is 698869161.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (161968897) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1513675 + ... + 1513781.

Almost surely, 2161968896 is an apocalyptic number.

161968896 is a gapful number since it is divisible by the number (16) 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 161968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247076676).

161968896 is an abundant number, since it is smaller than the sum of its proper divisors (332184456).

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

161968896 is an equidigital number, since it uses as much as digits as its factorization.

161968896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 161968896 is about 12726.7001221841. The cubic root of 161968896 is about 545.1012869011.

The spelling of 161968896 in words is "one hundred sixty-one million, nine hundred sixty-eight thousand, eight hundred ninety-six".