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55086720 = 2735132207
BaseRepresentation
bin1101001000100…
…0111010000000
310211122200202220
43102020322000
5103100233340
65244411040
71236141453
oct322107200
9124580686
1055086720
1129105517
1216546a80
13b5497c0
14745d49a
154c81ed0
hex3488e80

55086720 has 128 divisors (see below), whose sum is σ = 189181440. Its totient is φ = 13553664.

The previous prime is 55086701. The next prime is 55086737. The reversal of 55086720 is 2768055.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23857 + ... + 26063.

It is an arithmetic number, because the mean of its divisors is an integer number (1477980).

Almost surely, 255086720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94590720).

55086720 is an abundant number, since it is smaller than the sum of its proper divisors (134094720).

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

55086720 is a wasteful number, since it uses less digits than its factorization.

55086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 55086720 is about 7422.0428454705. The cubic root of 55086720 is about 380.4950150812.

The spelling of 55086720 in words is "fifty-five million, eighty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2207 2496 3120 4160 4414 4992 6240 6621 8320 8828 11035 12480 13242 17656 22070 24960 26484 28691 33105 35312 44140 52968 57382 66210 70624 86073 88280 105936 114764 132420 141248 143455 172146 176560 211872 229528 264840 282496 286910 344292 353120 423744 430365 459056 529680 573820 688584 706240 847488 860730 918112 1059360 1147640 1377168 1412480 1721460 1836224 2118720 2295280 2754336 3442920 3672448 4237440 4590560 5508672 6885840 9181120 11017344 13771680 18362240 27543360 55086720