Search a number
-
+
55705860 = 22335714737
BaseRepresentation
bin1101010010000…
…0000100000100
310212211011002000
43110200010010
5103230041420
65305545300
71244330520
oct324400404
9125734060
1055705860
1129498701
12167a5230
13b705562
147580d80
154d55690
hex3520104

55705860 has 96 divisors (see below), whose sum is σ = 198078720. Its totient is φ = 12731904.

The previous prime is 55705847. The next prime is 55705861. The reversal of 55705860 is 6850755.

55705860 is a `hidden beast` number, since 5 + 5 + 70 + 586 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55705861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3589 + ... + 11148.

It is an arithmetic number, because the mean of its divisors is an integer number (2063320).

Almost surely, 255705860 is an apocalyptic number.

It is an amenable number.

55705860 is an abundant number, since it is smaller than the sum of its proper divisors (142372860).

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

55705860 is a wasteful number, since it uses less digits than its factorization.

55705860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14762 (or 14754 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 55705860 is about 7463.6358432067. The cubic root of 55705860 is about 381.9152155979.

It can be divided in two parts, 55705 and 860, that added together give a palindrome (56565).

The spelling of 55705860 in words is "fifty-five million, seven hundred five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 14737 29474 44211 58948 73685 88422 103159 132633 147370 176844 206318 221055 265266 294740 309477 397899 412636 442110 515795 530532 618954 663165 795798 884220 928431 1031590 1237908 1326330 1547385 1591596 1856862 1989495 2063180 2652660 2785293 3094770 3713724 3978990 4642155 5570586 6189540 7957980 9284310 11141172 13926465 18568620 27852930 55705860