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90720 = 253457
BaseRepresentation
bin10110001001100000
311121110000
4112021200
510400340
61540000
7525330
oct261140
9147400
1090720
1162183
1244600
13323a6
14250c0
151bd30
hex16260

90720 has 120 divisors (see below), whose sum is σ = 365904. Its totient is φ = 20736.

The previous prime is 90709. The next prime is 90731. The reversal of 90720 is 2709.

It is an interprime number because it is at equal distance from previous prime (90709) and next prime (90731).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 90693 and 90702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12957 + ... + 12963.

290720 is an apocalyptic number.

90720 is a gapful number since it is divisible by the number (90) 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 90720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182952).

90720 is an abundant number, since it is smaller than the sum of its proper divisors (275184).

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

90720 is a wasteful number, since it uses less digits than its factorization.

90720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 90720 is about 301.1976095523. The cubic root of 90720 is about 44.9332343233.

The spelling of 90720 in words is "ninety thousand, seven hundred twenty".

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 96 105 108 112 120 126 135 140 144 160 162 168 180 189 210 216 224 240 252 270 280 288 315 324 336 360 378 405 420 432 480 504 540 560 567 630 648 672 720 756 810 840 864 945 1008 1080 1120 1134 1260 1296 1440 1512 1620 1680 1890 2016 2160 2268 2520 2592 2835 3024 3240 3360 3780 4320 4536 5040 5670 6048 6480 7560 9072 10080 11340 12960 15120 18144 22680 30240 45360 90720