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53005660 = 225173147107
BaseRepresentation
bin1100101000110…
…0110101011100
310200201222002121
43022030311130
5102032140120
65132032324
71212353311
oct312146534
9120658077
1053005660
1127a13a34
12159026a4
13ac9b4c6
14707ad08
1549c05aa
hex328cd5c

53005660 has 96 divisors (see below), whose sum is σ = 125411328. Its totient is φ = 18723840.

The previous prime is 53005651. The next prime is 53005663. The reversal of 53005660 is 6650035.

53005660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53005663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495327 + ... + 495433.

It is an arithmetic number, because the mean of its divisors is an integer number (1306368).

Almost surely, 253005660 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 53005660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62705664).

53005660 is an abundant number, since it is smaller than the sum of its proper divisors (72405668).

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

53005660 is a wasteful number, since it uses less digits than its factorization.

53005660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 53005660 is about 7280.4986092987. The cubic root of 53005660 is about 375.6419463785.

Adding to 53005660 its reverse (6650035), we get a palindrome (59655695).

The spelling of 53005660 in words is "fifty-three million, five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 31 34 47 62 68 85 94 107 124 155 170 188 214 235 310 340 428 470 527 535 620 799 940 1054 1070 1457 1598 1819 2108 2140 2635 2914 3196 3317 3638 3995 5029 5270 5828 6634 7276 7285 7990 9095 10058 10540 13268 14570 15980 16585 18190 20116 24769 25145 29140 33170 36380 49538 50290 56389 66340 85493 99076 100580 112778 123845 155899 170986 225556 247690 281945 311798 341972 427465 495380 563890 623596 779495 854930 1127780 1558990 1709860 2650283 3117980 5300566 10601132 13251415 26502830 53005660