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55109160 = 2334573233
BaseRepresentation
bin1101001000111…
…0011000101000
310211200211120000
43102032120220
5103101443120
65245103000
71236264051
oct322163050
9124624500
1055109160
1129120367
1216557a60
13b556a92
147467728
154c88990
hex348e628

55109160 has 160 divisors (see below), whose sum is σ = 188571240. Its totient is φ = 14432256.

The previous prime is 55109149. The next prime is 55109161. The reversal of 55109160 is 6190155.

55109160 is a `hidden beast` number, since 5 + 510 + 91 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38118276 + 16990884 = 6174^2 + 4122^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55109161) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 236404 + ... + 236636.

Almost surely, 255109160 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 55109160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94285620).

55109160 is an abundant number, since it is smaller than the sum of its proper divisors (133462080).

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

55109160 is a wasteful number, since it uses less digits than its factorization.

55109160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 55109160 is about 7423.5544047309. The cubic root of 55109160 is about 380.5466739264.

The spelling of 55109160 in words is "fifty-five million, one hundred nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 81 90 108 120 135 146 162 180 216 219 233 270 292 324 360 365 405 438 466 540 584 648 657 699 730 810 876 932 1080 1095 1165 1314 1398 1460 1620 1752 1864 1971 2097 2190 2330 2628 2796 2920 3240 3285 3495 3942 4194 4380 4660 5256 5592 5913 6291 6570 6990 7884 8388 8760 9320 9855 10485 11826 12582 13140 13980 15768 16776 17009 18873 19710 20970 23652 25164 26280 27960 29565 31455 34018 37746 39420 41940 47304 50328 51027 59130 62910 68036 75492 78840 83880 85045 94365 102054 118260 125820 136072 150984 153081 170090 188730 204108 236520 251640 255135 306162 340180 377460 408216 459243 510270 612324 680360 754920 765405 918486 1020540 1224648 1377729 1530810 1836972 2041080 2296215 2755458 3061620 3673944 4592430 5510916 6123240 6888645 9184860 11021832 13777290 18369720 27554580 55109160