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53668890 = 232511232357
BaseRepresentation
bin1100110010111…
…0110000011010
310201222122212200
43030232300122
5102214401030
65154151030
71221115032
oct314566032
9121878780
1053668890
1128327260
1215b82476
13b171352
1471b08c2
154aa1d60
hex332ec1a

53668890 has 96 divisors (see below), whose sum is σ = 158910336. Its totient is φ = 12439680.

The previous prime is 53668883. The next prime is 53668897. The reversal of 53668890 is 9886635.

53668890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53668883) and next prime (53668897).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53668897) 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 47 ways as a sum of consecutive naturals, for example, 21592 + ... + 23948.

It is an arithmetic number, because the mean of its divisors is an integer number (1655316).

Almost surely, 253668890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53668890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79455168).

53668890 is an abundant number, since it is smaller than the sum of its proper divisors (105241446).

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

53668890 is a wasteful number, since it uses less digits than its factorization.

53668890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 53668890 is about 7325.9054047947. The cubic root of 53668890 is about 377.2021889880.

The spelling of 53668890 in words is "fifty-three million, six hundred sixty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2357 2530 3795 4554 4714 7071 7590 11385 11785 14142 21213 22770 23570 25927 35355 42426 51854 54211 70710 77781 106065 108422 129635 155562 162633 212130 233343 259270 271055 325266 388905 466686 487899 542110 596321 777810 813165 975798 1166715 1192642 1626330 1788963 2333430 2439495 2981605 3577926 4878990 5366889 5963210 8944815 10733778 17889630 26834445 53668890