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126720 = 2832511
BaseRepresentation
bin11110111100000000
320102211100
4132330000
513023340
62414400
71035306
oct367400
9212740
10126720
1187230
1261400
13458a9
1434276
1527830
hex1ef00

126720 has 108 divisors (see below), whose sum is σ = 478296. Its totient is φ = 30720.

The previous prime is 126719. The next prime is 126733. The reversal of 126720 is 27621.

It is a happy number.

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 = 126693 and 126702.

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 126720.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11515 + ... + 11525.

2126720 is an apocalyptic number.

126720 is a gapful number since it is divisible by the number (10) 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 126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239148).

126720 is an abundant number, since it is smaller than the sum of its proper divisors (351576).

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

126720 is a wasteful number, since it uses less digits than its factorization.

126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 21 counting only the distinct ones).

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

The square root of 126720 is about 355.9775273806. The cubic root of 126720 is about 50.2282894258.

Subtracting from 126720 its reverse (27621), we obtain a palindrome (99099).

The spelling of 126720 in words is "one hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 64 66 72 80 88 90 96 99 110 120 128 132 144 160 165 176 180 192 198 220 240 256 264 288 320 330 352 360 384 396 440 480 495 528 576 640 660 704 720 768 792 880 960 990 1056 1152 1280 1320 1408 1440 1584 1760 1920 1980 2112 2304 2640 2816 2880 3168 3520 3840 3960 4224 5280 5760 6336 7040 7920 8448 10560 11520 12672 14080 15840 21120 25344 31680 42240 63360 126720