Search a number
-
+
1424400560 = 245111618637
BaseRepresentation
bin101010011100110…
…1010000010110000
310200021021001020022
41110321222002300
510404121304220
6353201503012
750204130212
oct12471520260
93607231208
101424400560
11671045250
12339041a68
13199142b8b
14d72645b2
15850b4925
hex54e6a0b0

1424400560 has 40 divisors (see below), whose sum is σ = 3612800016. Its totient is φ = 517963520.

The previous prime is 1424400559. The next prime is 1424400619. The reversal of 1424400560 is 650044241.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 808439 + ... + 810198.

Almost surely, 21424400560 is an apocalyptic number.

1424400560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1424400560 is an abundant number, since it is smaller than the sum of its proper divisors (2188399456).

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

1424400560 is a wasteful number, since it uses less digits than its factorization.

1424400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618661 (or 1618655 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1424400560 is about 37741.2315644310. The cubic root of 1424400560 is about 1125.1507445737.

The spelling of 1424400560 in words is "one billion, four hundred twenty-four million, four hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1618637 3237274 6474548 8093185 12949096 16186370 17805007 25898192 32372740 35610014 64745480 71220028 89025035 129490960 142440056 178050070 284880112 356100140 712200280 1424400560