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55188120 = 233513172081
BaseRepresentation
bin1101001010000…
…1101010011000
310211211211212110
43102201222120
5103112004440
65250512320
71240043211
oct322415230
9124754773
1055188120
1129174719
12165956a0
13b5839c0
147488408
154ca2080
hex34a1a98

55188120 has 128 divisors (see below), whose sum is σ = 188879040. Its totient is φ = 12779520.

The previous prime is 55188083. The next prime is 55188149. The reversal of 55188120 is 2188155.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25480 + ... + 27560.

Almost surely, 255188120 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 55188120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94439520).

55188120 is an abundant number, since it is smaller than the sum of its proper divisors (133690920).

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

55188120 is a wasteful number, since it uses less digits than its factorization.

55188120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 55188120 is about 7428.8707082571. The cubic root of 55188120 is about 380.7283353535.

The spelling of 55188120 in words is "fifty-five million, one hundred eighty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 2040 2081 2210 2652 3315 4162 4420 5304 6243 6630 8324 8840 10405 12486 13260 16648 20810 24972 26520 27053 31215 35377 41620 49944 54106 62430 70754 81159 83240 106131 108212 124860 135265 141508 162318 176885 212262 216424 249720 270530 283016 324636 353770 405795 424524 459901 530655 541060 649272 707540 811590 849048 919802 1061310 1082120 1379703 1415080 1623180 1839604 2122620 2299505 2759406 3246360 3679208 4245240 4599010 5518812 6898515 9198020 11037624 13797030 18396040 27594060 55188120