Search a number
-
+
1420240032 = 25324931389
BaseRepresentation
bin101010010100111…
…0010010010100000
310122222102200001200
41110221302102200
510402040140112
6352532401200
750123561331
oct12451622240
93588380050
101420240032
116697633a2
12337776200
13198317223
14d68a0288
1584a41cdc
hex54a724a0

1420240032 has 36 divisors (see below), whose sum is σ = 4038808410. Its totient is φ = 473413248.

The previous prime is 1420240021. The next prime is 1420240033. The reversal of 1420240032 is 2300420241.

1420240032 is a `hidden beast` number, since 1 + 420 + 240 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1413459216 + 6780816 = 37596^2 + 2604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×14202400322 = 4034163496990722048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1420239987 and 1420240014.

It is not an unprimeable number, because it can be changed into a prime (1420240033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2465407 + ... + 2465982.

Almost surely, 21420240032 is an apocalyptic number.

1420240032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1420240032 is an abundant number, since it is smaller than the sum of its proper divisors (2618568378).

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

1420240032 is a wasteful number, since it uses less digits than its factorization.

1420240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4931405 (or 4931394 counting only the distinct ones).

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

The square root of 1420240032 is about 37686.0721222045. The cubic root of 1420240032 is about 1124.0541929182.

Adding to 1420240032 its reverse (2300420241), we get a palindrome (3720660273).

The spelling of 1420240032 in words is "one billion, four hundred twenty million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4931389 9862778 14794167 19725556 29588334 39451112 44382501 59176668 78902224 88765002 118353336 157804448 177530004 236706672 355060008 473413344 710120016 1420240032