Search a number
-
+
1417368640 = 2654429277
BaseRepresentation
bin101010001111011…
…0101010001000000
310122210000210020211
41110132311101000
510400321244030
6352351043504
750060302042
oct12436652100
93583023224
101417368640
11668082046
12336810594
1319785028c
14d6353a92
158467612a
hex547b5440

1417368640 has 28 divisors (see below), whose sum is σ = 3375109836. Its totient is φ = 566947328.

The previous prime is 1417368607. The next prime is 1417368671. The reversal of 1417368640 is 468637141.

It can be written as a sum of positive squares in 2 ways, for example, as 550183936 + 867184704 = 23456^2 + 29448^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1417368593 and 1417368602.

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 3 ways as a sum of consecutive naturals, for example, 2214319 + ... + 2214958.

It is an arithmetic number, because the mean of its divisors is an integer number (120539637).

Almost surely, 21417368640 is an apocalyptic number.

1417368640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1417368640 is an abundant number, since it is smaller than the sum of its proper divisors (1957741196).

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

1417368640 is an equidigital number, since it uses as much as digits as its factorization.

1417368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429294 (or 4429284 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 1417368640 is about 37647.9566510588. The cubic root of 1417368640 is about 1123.2961572480.

The spelling of 1417368640 in words is "one billion, four hundred seventeen million, three hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 4429277 8858554 17717108 22146385 35434216 44292770 70868432 88585540 141736864 177171080 283473728 354342160 708684320 1417368640