Search a number
-
+
64780780 = 22529611831
BaseRepresentation
bin1111011100011…
…1100111101100
311111220012112011
43313013213230
5113040441110
610232251004
71414425151
oct367074754
9144805464
1064780780
1133626839
1219840a64
131056202c
148864228
155a4948a
hex3dc79ec

64780780 has 48 divisors (see below), whose sum is σ = 143115840. Its totient is φ = 24595200.

The previous prime is 64780777. The next prime is 64780783. The reversal of 64780780 is 8708746.

It is an interprime number because it is at equal distance from previous prime (64780777) and next prime (64780783).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (64780783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34465 + ... + 36295.

It is an arithmetic number, because the mean of its divisors is an integer number (2981580).

Almost surely, 264780780 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 64780780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71557920).

64780780 is an abundant number, since it is smaller than the sum of its proper divisors (78335060).

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

64780780 is a wasteful number, since it uses less digits than its factorization.

64780780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 64780780 is about 8048.6508186155. The cubic root of 64780780 is about 401.6200546987.

The spelling of 64780780 in words is "sixty-four million, seven hundred eighty thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 290 305 580 610 1220 1769 1831 3538 3662 7076 7324 8845 9155 17690 18310 35380 36620 53099 106198 111691 212396 223382 265495 446764 530990 558455 1061980 1116910 2233820 3239039 6478078 12956156 16195195 32390390 64780780