Search a number
-
+
64421040 = 2435733677
BaseRepresentation
bin1111010110111…
…1110010110000
311111012221001110
43311233302300
5112442433130
610220433320
71411366305
oct365576260
9144187043
1064421040
1133400532
12196a8840
1310467378
1487ad0ac
1559c7ab0
hex3d6fcb0

64421040 has 80 divisors (see below), whose sum is σ = 202495968. Its totient is φ = 16939008.

The previous prime is 64421017. The next prime is 64421081. The reversal of 64421040 is 4012446.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 64420998 and 64421016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15682 + ... + 19358.

Almost surely, 264421040 is an apocalyptic number.

64421040 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 64421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101247984).

64421040 is an abundant number, since it is smaller than the sum of its proper divisors (138074928).

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

64421040 is a wasteful number, since it uses less digits than its factorization.

64421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 64421040 is about 8026.2718618297. The cubic root of 64421040 is about 400.8752501129.

Adding to 64421040 its reverse (4012446), we get a palindrome (68433486).

The spelling of 64421040 in words is "sixty-four million, four hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 3677 4380 5840 7354 8760 11031 14708 17520 18385 22062 29416 36770 44124 55155 58832 73540 88248 110310 147080 176496 220620 268421 294160 441240 536842 805263 882480 1073684 1342105 1610526 2147368 2684210 3221052 4026315 4294736 5368420 6442104 8052630 10736840 12884208 16105260 21473680 32210520 64421040