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53660313 = 3471719293
BaseRepresentation
bin1100110010110…
…0101010011001
310201222020010000
43030230222121
5102214112223
65154043213
71221051030
oct314545231
9121866100
1053660313
1128320873
1215b79509
13b16a485
1471ab717
154a9e543
hex332ca99

53660313 has 80 divisors (see below), whose sum is σ = 102453120. Its totient is φ = 27247104.

The previous prime is 53660293. The next prime is 53660317. The reversal of 53660313 is 31306635.

53660313 is a `hidden beast` number, since 53 + 6 + 603 + 1 + 3 = 666.

53660313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53660313 - 25 = 53660281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53660317) 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 79 ways as a sum of consecutive naturals, for example, 182995 + ... + 183287.

It is an arithmetic number, because the mean of its divisors is an integer number (1280664).

Almost surely, 253660313 is an apocalyptic number.

It is an amenable number.

53660313 is a deficient number, since it is larger than the sum of its proper divisors (48792807).

53660313 is a wasteful number, since it uses less digits than its factorization.

53660313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 53660313 is about 7325.3199930105. The cubic root of 53660313 is about 377.1820939476.

Adding to 53660313 its reverse (31306635), we get a palindrome (84966948).

The spelling of 53660313 in words is "fifty-three million, six hundred sixty thousand, three hundred thirteen".

Divisors: 1 3 7 9 17 19 21 27 51 57 63 81 119 133 153 171 189 293 323 357 399 459 513 567 879 969 1071 1197 1377 1539 2051 2261 2637 2907 3213 3591 4981 5567 6153 6783 7911 8721 9639 10773 14943 16701 18459 20349 23733 26163 34867 38969 44829 50103 55377 61047 94639 104601 116907 134487 150309 166131 183141 283917 313803 350721 403461 450927 662473 851751 941409 1052163 1987419 2555253 2824227 3156489 5962257 7665759 17886771 53660313