Search a number
-
+
1043120032 = 25416131297
BaseRepresentation
bin111110001011001…
…011111110100000
32200200210222200021
4332023023332200
54114014320112
6251301403224
734564242163
oct7613137640
92620728607
101043120032
114958a5579
12251409514
13138156bb6
149c773ada
156189c907
hex3e2cbfa0

1043120032 has 48 divisors (see below), whose sum is σ = 2108787912. Its totient is φ = 507617280.

The previous prime is 1043120027. The next prime is 1043120077. The reversal of 1043120032 is 2300213401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 636855696 + 406264336 = 25236^2 + 20156^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1043119988 and 1043120015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 803608 + ... + 804904.

Almost surely, 21043120032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1043120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054393956).

1043120032 is an abundant number, since it is smaller than the sum of its proper divisors (1065667880).

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

1043120032 is a wasteful number, since it uses less digits than its factorization.

1043120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1043120032 is about 32297.3688092389. The cubic root of 1043120032 is about 1014.1715621205.

Adding to 1043120032 its reverse (2300213401), we get a palindrome (3343333433).

The spelling of 1043120032 in words is "one billion, forty-three million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 613 656 1226 1297 1312 2452 2594 4904 5188 9808 10376 19616 20752 25133 41504 50266 53177 100532 106354 201064 212708 402128 425416 795061 804256 850832 1590122 1701664 3180244 6360488 12720976 25441952 32597501 65195002 130390004 260780008 521560016 1043120032