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55086660 = 223252961173
BaseRepresentation
bin1101001000100…
…0111001000100
310211122200200200
43102020321010
5103100233120
65244410500
71236141336
oct322107104
9124580620
1055086660
1129105472
1216546a30
13b549775
14745d456
154c81e90
hex3488e44

55086660 has 144 divisors (see below), whose sum is σ = 176707440. Its totient is φ = 13870080.

The previous prime is 55086653. The next prime is 55086697. The reversal of 55086660 is 6668055.

It can be written as a sum of positive squares in 8 ways, for example, as 799236 + 54287424 = 894^2 + 7368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318334 + ... + 318506.

It is an arithmetic number, because the mean of its divisors is an integer number (1227135).

Almost surely, 255086660 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 55086660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88353720).

55086660 is an abundant number, since it is smaller than the sum of its proper divisors (121620780).

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

55086660 is a wasteful number, since it uses less digits than its factorization.

55086660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 55086660 is about 7422.0388034556. The cubic root of 55086660 is about 380.4948769372.

The spelling of 55086660 in words is "fifty-five million, eighty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 61 87 90 116 122 145 173 174 180 183 244 261 290 305 346 348 366 435 519 522 549 580 610 692 732 865 870 915 1038 1044 1098 1220 1305 1557 1730 1740 1769 1830 2076 2196 2595 2610 2745 3114 3460 3538 3660 5017 5190 5220 5307 5490 6228 7076 7785 8845 10034 10380 10553 10614 10980 15051 15570 15921 17690 20068 21106 21228 25085 26535 30102 31140 31659 31842 35380 42212 45153 50170 52765 53070 60204 63318 63684 75255 79605 90306 94977 100340 105530 106140 126636 150510 158295 159210 180612 189954 211060 225765 301020 306037 316590 318420 379908 451530 474885 612074 633180 903060 918111 949770 1224148 1530185 1836222 1899540 2754333 3060370 3672444 4590555 5508666 6120740 9181110 11017332 13771665 18362220 27543330 55086660