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1032023104 = 2672329089
BaseRepresentation
bin111101100000110…
…110110001000000
32122220221012112221
4331200312301000
54103144214404
6250223500424
734401023500
oct7540666100
92586835487
101032023104
1148a606262
12249757714
13135a6cc78
149b0c5a00
1560909954
hex3d836c40

1032023104 has 42 divisors (see below), whose sum is σ = 2382282510. Its totient is φ = 442294272.

The previous prime is 1032023101. The next prime is 1032023123. The reversal of 1032023104 is 4013202301.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 759112704 + 272910400 = 27552^2 + 16520^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1032023101) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 161409 + ... + 167680.

Almost surely, 21032023104 is an apocalyptic number.

1032023104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1032023104 is an abundant number, since it is smaller than the sum of its proper divisors (1350259406).

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

1032023104 is an equidigital number, since it uses as much as digits as its factorization.

1032023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329115 (or 329098 counting only the distinct ones).

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

The square root of 1032023104 is about 32125.1164044584. The cubic root of 1032023104 is about 1010.5624106838.

Adding to 1032023104 its reverse (4013202301), we get a palindrome (5045225405).

The spelling of 1032023104 in words is "one billion, thirty-two million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 329089 658178 1316356 2303623 2632712 4607246 5265424 9214492 10530848 16125361 18428984 21061696 32250722 36857968 64501444 73715936 129002888 147431872 258005776 516011552 1032023104