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55570560 = 2735103281
BaseRepresentation
bin1101001111111…
…1000010000000
310212120021110220
43103333002000
5103211224220
65303023040
71243225203
oct323770200
9125507426
1055570560
1129405a91
121673aa80
13b688ab6
14754793a
154d2a540
hex34ff080

55570560 has 128 divisors (see below), whose sum is σ = 179487360. Its totient is φ = 14622720.

The previous prime is 55570523. The next prime is 55570561. The reversal of 55570560 is 6507555.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (55570561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197620 + ... + 197900.

It is an arithmetic number, because the mean of its divisors is an integer number (1402245).

Almost surely, 255570560 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 55570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89743680).

55570560 is an abundant number, since it is smaller than the sum of its proper divisors (123916800).

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

55570560 is a wasteful number, since it uses less digits than its factorization.

55570560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 33.

The square root of 55570560 is about 7454.5663857799. The cubic root of 55570560 is about 381.6057626949.

The spelling of 55570560 in words is "fifty-five million, five hundred seventy thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 128 160 192 206 240 281 309 320 384 412 480 515 562 618 640 824 843 960 1030 1124 1236 1405 1545 1648 1686 1920 2060 2248 2472 2810 3090 3296 3372 4120 4215 4496 4944 5620 6180 6592 6744 8240 8430 8992 9888 11240 12360 13184 13488 16480 16860 17984 19776 22480 24720 26976 28943 32960 33720 35968 39552 44960 49440 53952 57886 65920 67440 86829 89920 98880 107904 115772 134880 144715 173658 179840 197760 231544 269760 289430 347316 434145 463088 539520 578860 694632 868290 926176 1157720 1389264 1736580 1852352 2315440 2778528 3473160 3704704 4630880 5557056 6946320 9261760 11114112 13892640 18523520 27785280 55570560