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161280 = 293257
BaseRepresentation
bin100111011000000000
322012020100
4213120000
520130110
63242400
71241130
oct473000
9265210
10161280
11100199
1279400
1358542
1442ac0
1532bc0
hex27600

161280 has 120 divisors (see below), whose sum is σ = 638352. Its totient is φ = 36864.

The previous prime is 161267. The next prime is 161281. The reversal of 161280 is 82161.

It can be divided in two parts, 161 and 280, that added together give a square (441 = 212).

It is a Jordan-Polya number, since it can be written as 8! ⋅ (2!)2.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1612802 = 52022476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161281) by changing a digit.

161280 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, 23037 + ... + 23043.

2161280 is an apocalyptic number.

161280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

161280 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319176).

161280 is an abundant number, since it is smaller than the sum of its proper divisors (477072).

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

161280 is an equidigital number, since it uses as much as digits as its factorization.

161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 161280 is about 401.5968127364. The cubic root of 161280 is about 54.4327369276.

The spelling of 161280 in words is "one hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 128 140 144 160 168 180 192 210 224 240 252 256 280 288 315 320 336 360 384 420 448 480 504 512 560 576 630 640 672 720 768 840 896 960 1008 1120 1152 1260 1280 1344 1440 1536 1680 1792 1920 2016 2240 2304 2520 2560 2688 2880 3360 3584 3840 4032 4480 4608 5040 5376 5760 6720 7680 8064 8960 10080 10752 11520 13440 16128 17920 20160 23040 26880 32256 40320 53760 80640 161280