Search a number
-
+
64822020 = 223517103617
BaseRepresentation
bin1111011101000…
…1101100000100
311111222022002120
43313101230010
5113043301040
610233205540
71414656324
oct367215404
9144868076
1064822020
113365481a
12198608b0
1310577a33
148875284
155a567d0
hex3dd1b04

64822020 has 96 divisors (see below), whose sum is σ = 194358528. Its totient is φ = 16084992.

The previous prime is 64822013. The next prime is 64822067. The reversal of 64822020 is 2022846.

64822020 = T119 + T120 + ... + T730.

64822020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 104752 + ... + 105368.

It is an arithmetic number, because the mean of its divisors is an integer number (2024568).

Almost surely, 264822020 is an apocalyptic number.

64822020 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 64822020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97179264).

64822020 is an abundant number, since it is smaller than the sum of its proper divisors (129536508).

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

64822020 is a wasteful number, since it uses less digits than its factorization.

64822020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 64822020 is about 8051.2123310716. The cubic root of 64822020 is about 401.7052615436.

Adding to 64822020 its reverse (2022846), we get a palindrome (66844866).

The spelling of 64822020 in words is "sixty-four million, eight hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 103 170 204 206 255 309 340 412 510 515 617 618 1020 1030 1234 1236 1545 1751 1851 2060 2468 3085 3090 3502 3702 5253 6170 6180 7004 7404 8755 9255 10489 10506 12340 17510 18510 20978 21012 26265 31467 35020 37020 41956 52445 52530 62934 63551 104890 105060 125868 127102 157335 190653 209780 254204 314670 317755 381306 629340 635510 762612 953265 1080367 1271020 1906530 2160734 3241101 3813060 4321468 5401835 6482202 10803670 12964404 16205505 21607340 32411010 64822020