Search a number
-
+
64263780 = 2235571889
BaseRepresentation
bin1111010100100…
…1011001100100
311110220221100000
43311021121210
5112422420110
610213221300
71410142650
oct365113144
9143827300
1064263780
1133303369
1219631830
1310410909
14876ba60
1559961c0
hex3d49664

64263780 has 144 divisors (see below), whose sum is σ = 231154560. Its totient is φ = 14681088.

The previous prime is 64263743. The next prime is 64263811. The reversal of 64263780 is 8736246.

64263780 is a `hidden beast` number, since 642 + 6 + 3 + 7 + 8 + 0 = 666.

64263780 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 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 47 ways as a sum of consecutive naturals, for example, 33076 + ... + 34964.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 264263780 is an apocalyptic number.

64263780 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 64263780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

64263780 is an abundant number, since it is smaller than the sum of its proper divisors (166890780).

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

64263780 is a wasteful number, since it uses less digits than its factorization.

64263780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 64263780 is about 8016.4692976397. The cubic root of 64263780 is about 400.5487884006.

64263780 divided by its sum of digits (36) gives a triangular number (1785105 = T1889).

The spelling of 64263780 in words is "sixty-four million, two hundred sixty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1889 1890 2268 2430 2835 3402 3778 3780 4860 5667 5670 6804 7556 8505 9445 11334 11340 13223 17001 17010 18890 22668 26446 28335 34002 34020 37780 39669 51003 52892 56670 66115 68004 79338 85005 102006 113340 119007 132230 153009 158676 170010 198345 204012 238014 255015 264460 306018 340020 357021 396690 459027 476028 510030 595035 612036 714042 765045 793380 918054 1020060 1071063 1190070 1428084 1530090 1785105 1836108 2142126 2295135 2380140 3060180 3213189 3570210 4284252 4590270 5355315 6426378 7140420 9180540 10710630 12852756 16065945 21421260 32131890 64263780