Search a number
-
+
161162688 = 2633112699
BaseRepresentation
bin10011001101100…
…10010111000000
3102020020220122110
421212302113000
5312224201223
623554135320
73664601031
oct1146622700
9366226573
10161162688
1182a76a05
1245b81540
1327509a4b
1417592a88
15e236d93
hex99b25c0

161162688 has 56 divisors (see below), whose sum is σ = 427939200. Its totient is φ = 53528320.

The previous prime is 161162681. The next prime is 161162699. The reversal of 161162688 is 886261161.

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 (161162681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58363 + ... + 61061.

Almost surely, 2161162688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213969600).

161162688 is an abundant number, since it is smaller than the sum of its proper divisors (266776512).

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

161162688 is a wasteful number, since it uses less digits than its factorization.

161162688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3015 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 161162688 is about 12694.9867270510. The cubic root of 161162688 is about 544.1953594772.

The spelling of 161162688 in words is "one hundred sixty-one million, one hundred sixty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 311 622 933 1244 1866 2488 2699 3732 4976 5398 7464 8097 9952 10796 14928 16194 19904 21592 29856 32388 43184 59712 64776 86368 129552 172736 259104 518208 839389 1678778 2518167 3357556 5036334 6715112 10072668 13430224 20145336 26860448 40290672 53720896 80581344 161162688