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272160 = 253557
BaseRepresentation
bin1000010011100100000
3111211100000
41002130200
532202120
65500000
72212320
oct1023440
9454300
10272160
11176529
12111600
1396b55
1471280
1555990
hex42720

272160 has 144 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 62208.

The previous prime is 272141. The next prime is 272171. The reversal of 272160 is 61272.

It can be divided in two parts, 27 and 2160, that added together give a 7-th power (2187 = 37).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

272160 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 23 ways as a sum of consecutive naturals, for example, 38877 + ... + 38883.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2272160 is an apocalyptic number.

272160 is a gapful number since it is divisible by the number (20) 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 272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

272160 is an abundant number, since it is smaller than the sum of its proper divisors (828576).

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

272160 is an equidigital number, since it uses as much as digits as its factorization.

272160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 272160 is about 521.6895628628. The cubic root of 272160 is about 64.8049378953.

The spelling of 272160 in words is "two hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 70 72 80 81 84 90 96 105 108 112 120 126 135 140 144 160 162 168 180 189 210 216 224 240 243 252 270 280 288 315 324 336 360 378 405 420 432 480 486 504 540 560 567 630 648 672 720 756 810 840 864 945 972 1008 1080 1120 1134 1215 1260 1296 1440 1512 1620 1680 1701 1890 1944 2016 2160 2268 2430 2520 2592 2835 3024 3240 3360 3402 3780 3888 4320 4536 4860 5040 5670 6048 6480 6804 7560 7776 8505 9072 9720 10080 11340 12960 13608 15120 17010 18144 19440 22680 27216 30240 34020 38880 45360 54432 68040 90720 136080 272160