Search a number
-
+
64055840 = 2551921109
BaseRepresentation
bin1111010001011…
…0101000100000
311110112101002112
43310112220200
5112344241330
610204534452
71405315502
oct364265040
9143471075
1064055840
1133181112
1219551428
131036a084
148715d72
155954795
hex3d16a20

64055840 has 72 divisors (see below), whose sum is σ = 159859980. Its totient is φ = 24251904.

The previous prime is 64055839. The next prime is 64055891. The reversal of 64055840 is 4855046.

It can be written as a sum of positive squares in 2 ways, for example, as 54346384 + 9709456 = 7372^2 + 3116^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 64055797 and 64055806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57206 + ... + 58314.

Almost surely, 264055840 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 64055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79929990).

64055840 is an abundant number, since it is smaller than the sum of its proper divisors (95804140).

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

64055840 is a wasteful number, since it uses less digits than its factorization.

64055840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 64055840 is about 8003.4892390757. The cubic root of 64055840 is about 400.1162995161.

The spelling of 64055840 in words is "sixty-four million, fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 361 380 608 722 760 1109 1444 1520 1805 2218 2888 3040 3610 4436 5545 5776 7220 8872 11090 11552 14440 17744 21071 22180 28880 35488 42142 44360 57760 84284 88720 105355 168568 177440 210710 337136 400349 421420 674272 800698 842840 1601396 1685680 2001745 3202792 3371360 4003490 6405584 8006980 12811168 16013960 32027920 64055840