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55110150 = 232522941103
BaseRepresentation
bin1101001000111…
…0101000000110
310211200212220200
43102032220012
5103102011100
65245111330
71236266664
oct322165006
9124625820
1055110150
1129121087
1216558546
13b557374
147467c34
154c88e00
hex348ea06

55110150 has 144 divisors (see below), whose sum is σ = 158427360. Its totient is φ = 13708800.

The previous prime is 55110149. The next prime is 55110161. The reversal of 55110150 is 5101155.

55110150 is a `hidden beast` number, since 5 + 511 + 0 + 150 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 534999 + ... + 535101.

It is an arithmetic number, because the mean of its divisors is an integer number (1100190).

Almost surely, 255110150 is an apocalyptic number.

55110150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55110150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79213680).

55110150 is an abundant number, since it is smaller than the sum of its proper divisors (103317210).

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

55110150 is a wasteful number, since it uses less digits than its factorization.

55110150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 55110150 is about 7423.6210840802. The cubic root of 55110150 is about 380.5489526701.

It can be divided in two parts, 551 and 10150, that added together give a palindrome (10701).

The spelling of 55110150 in words is "fifty-five million, one hundred ten thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 41 45 50 58 75 82 87 90 103 123 145 150 174 205 206 225 246 261 290 309 369 410 435 450 515 522 615 618 725 738 870 927 1025 1030 1189 1230 1305 1450 1545 1845 1854 2050 2175 2378 2575 2610 2987 3075 3090 3567 3690 4223 4350 4635 5150 5945 5974 6150 6525 7134 7725 8446 8961 9225 9270 10701 11890 12669 13050 14935 15450 17835 17922 18450 21115 21402 23175 25338 26883 29725 29870 35670 38007 42230 44805 46350 53505 53766 59450 63345 74675 76014 89175 89610 105575 107010 122467 126690 134415 149350 178350 190035 211150 224025 244934 267525 268830 316725 367401 380070 448050 535050 612335 633450 672075 734802 950175 1102203 1224670 1344150 1837005 1900350 2204406 3061675 3674010 5511015 6123350 9185025 11022030 18370050 27555075 55110150