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55443120 = 243517107127
BaseRepresentation
bin1101001101111…
…1111010110000
310212022210122220
43103133322300
5103143134440
65300201040
71242154515
oct323377260
9125283586
1055443120
1129329267
1216699180
13b642aa5
14751330c
154d028d0
hex34dfeb0

55443120 has 160 divisors (see below), whose sum is σ = 185131008. Its totient is φ = 13676544.

The previous prime is 55443109. The next prime is 55443151. The reversal of 55443120 is 2134455.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436497 + ... + 436623.

Almost surely, 255443120 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 55443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92565504).

55443120 is an abundant number, since it is smaller than the sum of its proper divisors (129687888).

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

55443120 is a wasteful number, since it uses less digits than its factorization.

55443120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 55443120 is about 7446.0136986175. The cubic root of 55443120 is about 381.3138271710.

Adding to 55443120 its reverse (2134455), we get a palindrome (57577575).

The spelling of 55443120 in words is "fifty-five million, four hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 107 120 127 136 170 204 214 240 254 255 272 321 340 381 408 428 508 510 535 635 642 680 762 816 856 1016 1020 1070 1270 1284 1360 1524 1605 1712 1819 1905 2032 2040 2140 2159 2540 2568 3048 3210 3638 3810 4080 4280 4318 5080 5136 5457 6096 6420 6477 7276 7620 8560 8636 9095 10160 10795 10914 12840 12954 13589 14552 15240 17272 18190 21590 21828 25680 25908 27178 27285 29104 30480 32385 34544 36380 40767 43180 43656 51816 54356 54570 64770 67945 72760 81534 86360 87312 103632 108712 109140 129540 135890 145520 163068 172720 203835 217424 218280 231013 259080 271780 326136 407670 436560 462026 518160 543560 652272 693039 815340 924052 1087120 1155065 1386078 1630680 1848104 2310130 2772156 3261360 3465195 3696208 4620260 5544312 6930390 9240520 11088624 13860780 18481040 27721560 55443120