Search a number
-
+
420446390 = 257134159191
BaseRepresentation
bin11001000011111…
…000000010110110
31002022010220000112
4121003320002312
51330113241030
6105415343022
713263510140
oct3103700266
91068126015
10420446390
111a6370661
12b8981a72
136914cc60
143dba7c90
1526da1a95
hex190f80b6

420446390 has 128 divisors (see below), whose sum is σ = 975421440. Its totient is φ = 126950400.

The previous prime is 420446359. The next prime is 420446393. The reversal of 420446390 is 93644024.

420446390 is digitally balanced in base 6, 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 (420446393) 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 63 ways as a sum of consecutive naturals, for example, 2201195 + ... + 2201385.

It is an arithmetic number, because the mean of its divisors is an integer number (7620480).

Almost surely, 2420446390 is an apocalyptic number.

420446390 is an abundant number, since it is smaller than the sum of its proper divisors (554975050).

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

420446390 is a wasteful number, since it uses less digits than its factorization.

420446390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318.

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 420446390 is about 20504.7894405185. The cubic root of 420446390 is about 749.1524588892.

The spelling of 420446390 in words is "four hundred twenty million, four hundred forty-six thousand, three hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 35 41 59 65 70 82 91 118 130 182 191 205 287 295 382 410 413 455 533 574 590 767 826 910 955 1066 1337 1435 1534 1910 2065 2419 2483 2665 2674 2870 3731 3835 4130 4838 4966 5330 5369 6685 7462 7670 7831 10738 11269 12095 12415 13370 15662 16933 17381 18655 22538 24190 24830 26845 31447 33866 34762 37310 39155 53690 54817 56345 62894 78310 78883 84665 86905 101803 109634 112690 146497 157235 157766 169330 173810 203606 220129 274085 292994 314470 394415 440258 462029 509015 548170 712621 732485 788830 924058 1018030 1025479 1100645 1425242 1464970 2050958 2201290 2310145 3234203 3563105 4620290 5127395 6006377 6468406 7126210 10254790 12012754 16171015 30031885 32342030 42044639 60063770 84089278 210223195 420446390