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53590680 = 233351113347
BaseRepresentation
bin1100110001101…
…1101010011000
310201211200121000
43030123222120
5102204400210
65152345000
71220341023
oct314335230
9121750530
1053590680
1128283520
1215b45160
13b144880
1471901ba
154a88ac0
hex331ba98

53590680 has 256 divisors, whose sum is σ = 210470400. Its totient is φ = 11957760.

The previous prime is 53590627. The next prime is 53590711. The reversal of 53590680 is 8609535.

53590680 is a `hidden beast` number, since 5 + 3 + 590 + 68 + 0 = 666.

53590680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 154267 + ... + 154613.

It is an arithmetic number, because the mean of its divisors is an integer number (822150).

Almost surely, 253590680 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 53590680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105235200).

53590680 is an abundant number, since it is smaller than the sum of its proper divisors (156879720).

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

53590680 is a wasteful number, since it uses less digits than its factorization.

53590680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 53590680 is about 7320.5655519229. The cubic root of 53590680 is about 377.0188715819.

The spelling of 53590680 in words is "fifty-three million, five hundred ninety thousand, six hundred eighty".