Search a number
-
+
1024023400 = 23525120117
BaseRepresentation
bin111101000010010…
…101101101101000
32122100212210000121
4331002111231220
54044122222100
6245340213024
734243024651
oct7502255550
92570783017
101024023400
11486041a34
12246b3a174
131341cba0a
149a002528
155ed7951a
hex3d095b68

1024023400 has 24 divisors (see below), whose sum is σ = 2380854870. Its totient is φ = 409609280.

The previous prime is 1024023391. The next prime is 1024023401. The reversal of 1024023400 is 43204201.

1024023400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 970820964 + 53202436 = 31158^2 + 7294^2 .

It is not an unprimeable number, because it can be changed into a prime (1024023401) 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, 2559859 + ... + 2560258.

Almost surely, 21024023400 is an apocalyptic number.

1024023400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024023400 is an abundant number, since it is smaller than the sum of its proper divisors (1356831470).

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

1024023400 is a wasteful number, since it uses less digits than its factorization.

1024023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120133 (or 5120124 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1024023400 is about 32000.3656229112. The cubic root of 1024023400 is about 1007.9445175013.

Adding to 1024023400 its reverse (43204201), we get a palindrome (1067227601).

The spelling of 1024023400 in words is "one billion, twenty-four million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5120117 10240234 20480468 25600585 40960936 51201170 102402340 128002925 204804680 256005850 512011700 1024023400