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55505560 = 235111011249
BaseRepresentation
bin1101001110111…
…1001010011000
310212102222022111
43103233022120
5103202134220
65301402104
71242534535
oct323571230
9125388274
1055505560
1129371170
1216709334
13b665336
14752bd8c
154d1615a
hex34ef298

55505560 has 64 divisors (see below), whose sum is σ = 137700000. Its totient is φ = 19968000.

The previous prime is 55505557. The next prime is 55505581. The reversal of 55505560 is 6550555.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43816 + ... + 45064.

Almost surely, 255505560 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 55505560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68850000).

55505560 is an abundant number, since it is smaller than the sum of its proper divisors (82194440).

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

55505560 is a wasteful number, since it uses less digits than its factorization.

55505560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 31.

The square root of 55505560 is about 7450.2053662970. The cubic root of 55505560 is about 381.4569185829.

It can be divided in two parts, 55505 and 560, that added together give a palindrome (56065).

The spelling of 55505560 in words is "fifty-five million, five hundred five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 1249 2020 2222 2498 4040 4444 4996 5555 6245 8888 9992 11110 12490 13739 22220 24980 27478 44440 49960 54956 68695 109912 126149 137390 252298 274780 504596 549560 630745 1009192 1261490 1387639 2522980 2775278 5045960 5550556 6938195 11101112 13876390 27752780 55505560