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160992 = 25321343
BaseRepresentation
bin100111010011100000
322011211200
4213103200
520122432
63241200
71240236
oct472340
9264750
10160992
11aaa57
1279200
1358380
1442956
1532a7c
hex274e0

160992 has 72 divisors (see below), whose sum is σ = 504504. Its totient is φ = 48384.

The previous prime is 160981. The next prime is 160997. The reversal of 160992 is 299061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160997) by changing a digit.

160992 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 11 ways as a sum of consecutive naturals, for example, 3723 + ... + 3765.

It is an arithmetic number, because the mean of its divisors is an integer number (7007).

2160992 is an apocalyptic number.

160992 is a gapful number since it is divisible by the number (12) 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 160992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252252).

160992 is an abundant number, since it is smaller than the sum of its proper divisors (343512).

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

160992 is a wasteful number, since it uses less digits than its factorization.

160992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 160992 is about 401.2380839352. The cubic root of 160992 is about 54.4003171838.

The spelling of 160992 in words is "one hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 172 208 234 258 288 312 344 387 416 468 516 559 624 688 774 936 1032 1118 1248 1376 1548 1677 1872 2064 2236 3096 3354 3744 4128 4472 5031 6192 6708 8944 10062 12384 13416 17888 20124 26832 40248 53664 80496 160992