Search a number
-
+
1432368040 = 23573490537
BaseRepresentation
bin101010101100000…
…0011001110101000
310200211020211120011
41111120003032220
510413141234130
6354044341304
750331633055
oct12530031650
93624224504
101432368040
11675597344
1233b844834
1319a9a256c
14d833a02c
1585b3a52a
hex556033a8

1432368040 has 32 divisors (see below), whose sum is σ = 3266983080. Its totient is φ = 565097472.

The previous prime is 1432368011. The next prime is 1432368053. The reversal of 1432368040 is 408632341.

It can be written as a sum of positive squares in 4 ways, for example, as 1418124964 + 14243076 = 37658^2 + 3774^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1432367993 and 1432368011.

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, 242349 + ... + 248188.

Almost surely, 21432368040 is an apocalyptic number.

1432368040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1432368040 is an abundant number, since it is smaller than the sum of its proper divisors (1834615040).

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

1432368040 is a wasteful number, since it uses less digits than its factorization.

1432368040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490621 (or 490617 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 1432368040 is about 37846.6384240397. The cubic root of 1432368040 is about 1127.2447138610.

The spelling of 1432368040 in words is "one billion, four hundred thirty-two million, three hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 490537 981074 1962148 2452685 3924296 4905370 9810740 19621480 35809201 71618402 143236804 179046005 286473608 358092010 716184020 1432368040