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2000020464 = 243313356129
BaseRepresentation
bin111011100110101…
…1110001111110000
312011101101120022000
41313031132033300
513044001123324
6530243214000
7100363615311
oct16715361760
95141346260
102000020464
11936a60a82
12479977300
1325b483780
1414d8a2608
15ba8b89c9
hex7735e3f0

2000020464 has 80 divisors (see below), whose sum is σ = 6182416800. Its totient is φ = 615389184.

The previous prime is 2000020447. The next prime is 2000020487. The reversal of 2000020464 is 4640200002.

2000020464 is a `hidden beast` number, since 200 + 0 + 0 + 2 + 0 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172449 + ... + 183680.

It is an arithmetic number, because the mean of its divisors is an integer number (77280210).

Almost surely, 22000020464 is an apocalyptic number.

2000020464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2000020464 is an abundant number, since it is smaller than the sum of its proper divisors (4182396336).

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

2000020464 is a wasteful number, since it uses less digits than its factorization.

2000020464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356159 (or 356147 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2000020464 is about 44721.5883438860. The cubic root of 2000020464 is about 1259.9253470509.

Adding to 2000020464 its reverse (4640200002), we get a palindrome (6640220466).

The spelling of 2000020464 in words is "two billion, twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 356129 712258 1068387 1424516 2136774 2849032 3205161 4273548 4629677 5698064 6410322 8547096 9259354 9615483 12820644 13889031 17094192 18518708 19230966 25641288 27778062 37037416 38461932 41667093 51282576 55556124 74074832 76923864 83334186 111112248 125001279 153847728 166668372 222224496 250002558 333336744 500005116 666673488 1000010232 2000020464