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53014640 = 2457412309
BaseRepresentation
bin1100101000111…
…1000001110000
310200202102102012
43022033001300
5102032432030
65132142052
71212421430
oct312170160
9120672365
1053014640
1127a1a758
1215907928
13aca2613
1470802c0
1549c3095
hex328f070

53014640 has 80 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 17725440.

The previous prime is 53014613. The next prime is 53014649. The reversal of 53014640 is 4641035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53014649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21806 + ... + 24114.

It is an arithmetic number, because the mean of its divisors is an integer number (1804572).

Almost surely, 253014640 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 53014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

53014640 is an abundant number, since it is smaller than the sum of its proper divisors (91351120).

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

53014640 is a wasteful number, since it uses less digits than its factorization.

53014640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 53014640 is about 7281.1152991832. The cubic root of 53014640 is about 375.6631584163.

Adding to 53014640 its reverse (4641035), we get a palindrome (57655675).

The spelling of 53014640 in words is "fifty-three million, fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2309 2870 3280 4592 4618 5740 9236 11480 11545 16163 18472 22960 23090 32326 36944 46180 64652 80815 92360 94669 129304 161630 184720 189338 258608 323260 378676 473345 646520 662683 757352 946690 1293040 1325366 1514704 1893380 2650732 3313415 3786760 5301464 6626830 7573520 10602928 13253660 26507320 53014640