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160944 = 2437479
BaseRepresentation
bin100111010010110000
322011202220
4213102300
520122234
63241040
71240140
oct472260
9264686
10160944
11aaa13
1279180
1358344
1442920
1532a49
hex274b0

160944 has 40 divisors (see below), whose sum is σ = 476160. Its totient is φ = 45888.

The previous prime is 160933. The next prime is 160967. The reversal of 160944 is 449061.

It is a super-2 number, since 2×1609442 = 51805942272, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 160944.

It is an unprimeable number.

160944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (11904).

2160944 is an apocalyptic number.

160944 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 160944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238080).

160944 is an abundant number, since it is smaller than the sum of its proper divisors (315216).

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

160944 is a wasteful number, since it uses less digits than its factorization.

160944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

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

The square root of 160944 is about 401.1782646156. The cubic root of 160944 is about 54.3949101351.

It can be divided in two parts, 1609 and 44, that added together give a triangular number (1653 = T57).

The spelling of 160944 in words is "one hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 479 958 1437 1916 2874 3353 3832 5748 6706 7664 10059 11496 13412 20118 22992 26824 40236 53648 80472 160944