Search a number
-
+
1023049932 = 223271314591
BaseRepresentation
bin111100111110101…
…000000011001100
32122022001022200020
4330332220003030
54043400044212
6245303302140
734231531602
oct7476500314
92568038606
101023049932
11485537613
1224674a950
13133c4a8b8
1499c2b872
155ec35d8c
hex3cfa80cc

1023049932 has 24 divisors (see below), whose sum is σ = 2395932672. Its totient is φ = 339757200.

The previous prime is 1023049901. The next prime is 1023049939. The reversal of 1023049932 is 2399403201.

1023049932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1023049893 and 1023049902.

It is not an unprimeable number, because it can be changed into a prime (1023049939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154044 + ... + 160547.

It is an arithmetic number, because the mean of its divisors is an integer number (99830528).

Almost surely, 21023049932 is an apocalyptic number.

1023049932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023049932 is an abundant number, since it is smaller than the sum of its proper divisors (1372882740).

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

1023049932 is a wasteful number, since it uses less digits than its factorization.

1023049932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314869 (or 314867 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 1023049932 is about 31985.1517426446. The cubic root of 1023049932 is about 1007.6250219318.

The spelling of 1023049932 in words is "one billion, twenty-three million, forty-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 271 542 813 1084 1626 3252 314591 629182 943773 1258364 1887546 3775092 85254161 170508322 255762483 341016644 511524966 1023049932