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64044420 = 223511234219
BaseRepresentation
bin1111010001001…
…1110110000100
311110111210102120
43310103312010
5112343410140
610204405540
71405240266
oct364236604
9143453376
1064044420
1133173580
12195468b0
1310364b0b
148711b36
1559511d0
hex3d13d84

64044420 has 96 divisors (see below), whose sum is σ = 204180480. Its totient is φ = 14847360.

The previous prime is 64044413. The next prime is 64044439. The reversal of 64044420 is 2444046.

64044420 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, 13071 + ... + 17289.

It is an arithmetic number, because the mean of its divisors is an integer number (2126880).

Almost surely, 264044420 is an apocalyptic number.

64044420 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 64044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102090240).

64044420 is an abundant number, since it is smaller than the sum of its proper divisors (140136060).

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

64044420 is a wasteful number, since it uses less digits than its factorization.

64044420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 64044420 is about 8002.7757684443. The cubic root of 64044420 is about 400.0925202650.

Adding to 64044420 its reverse (2444046), we get a palindrome (66488466).

The spelling of 64044420 in words is "sixty-four million, forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 4219 5060 7590 8438 12657 15180 16876 21095 25314 42190 46409 50628 63285 84380 92818 97037 126570 139227 185636 194074 232045 253140 278454 291111 388148 464090 485185 556908 582222 696135 928180 970370 1067407 1164444 1392270 1455555 1940740 2134814 2784540 2911110 3202221 4269628 5337035 5822220 6404442 10674070 12808884 16011105 21348140 32022210 64044420