Search a number
-
+
160368 = 24313257
BaseRepresentation
bin100111001001110000
322010222120
4213021300
520112433
63234240
71235355
oct471160
9263876
10160368
11aa53a
1278980
1357cc0
144262c
15327b3
hex27270

160368 has 40 divisors (see below), whose sum is σ = 447888. Its totient is φ = 49152.

The previous prime is 160367. The next prime is 160373. The reversal of 160368 is 863061.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160367) 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, 496 + ... + 752.

2160368 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 160368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223944).

160368 is an abundant number, since it is smaller than the sum of its proper divisors (287520).

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

160368 is a wasteful number, since it uses less digits than its factorization.

160368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 160368 is about 400.4597358037. The cubic root of 160368 is about 54.3299415332.

It can be divided in two parts, 160 and 368, that added together give a triangular number (528 = T32).

The spelling of 160368 in words is "one hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 257 312 514 624 771 1028 1542 2056 3084 3341 4112 6168 6682 10023 12336 13364 20046 26728 40092 53456 80184 160368