Search a number
-
+
64605780 = 223251743491
BaseRepresentation
bin1111011001110…
…0111001010100
311111120022110200
43312130321110
5113014341110
610224420500
71413066021
oct366347124
9144508420
1064605780
1133517308
1219777730
1310500495
14881a548
155a126c0
hex3d9ce54

64605780 has 144 divisors (see below), whose sum is σ = 212756544. Its totient is φ = 15805440.

The previous prime is 64605773. The next prime is 64605799. The reversal of 64605780 is 8750646.

It is a happy number.

64605780 is a `hidden beast` number, since 646 + 0 + 5 + 7 + 8 + 0 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131335 + ... + 131825.

It is an arithmetic number, because the mean of its divisors is an integer number (1477476).

Almost surely, 264605780 is an apocalyptic number.

64605780 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64605780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106378272).

64605780 is an abundant number, since it is smaller than the sum of its proper divisors (148150764).

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

64605780 is a wasteful number, since it uses less digits than its factorization.

64605780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 64605780 is about 8037.7720793762. The cubic root of 64605780 is about 401.2580806012.

The spelling of 64605780 in words is "sixty-four million, six hundred five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 43 45 51 60 68 85 86 90 102 129 153 170 172 180 204 215 255 258 306 340 387 430 491 510 516 612 645 731 765 774 860 982 1020 1290 1462 1473 1530 1548 1935 1964 2193 2455 2580 2924 2946 3060 3655 3870 4386 4419 4910 5892 6579 7310 7365 7740 8347 8772 8838 9820 10965 13158 14620 14730 16694 17676 21113 21930 22095 25041 26316 29460 32895 33388 41735 42226 43860 44190 50082 63339 65790 75123 83470 84452 88380 100164 105565 125205 126678 131580 150246 166940 190017 211130 250410 253356 300492 316695 358921 375615 380034 422260 500820 633390 717842 751230 760068 950085 1076763 1266780 1435684 1502460 1794605 1900170 2153526 3230289 3589210 3800340 4307052 5383815 6460578 7178420 10767630 12921156 16151445 21535260 32302890 64605780