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1023323420 = 225767310861
BaseRepresentation
bin111100111111101…
…010110100011100
32122022120012211102
4330333222310130
54043432322140
6245313212232
734234051130
oct7477526434
92568505742
101023323420
11485704039
12246861078
13134015222
1499c9d3c0
155ec8be15
hex3cfead1c

1023323420 has 48 divisors (see below), whose sum is σ = 2459851968. Its totient is φ = 350300160.

The previous prime is 1023323359. The next prime is 1023323443. The reversal of 1023323420 is 243233201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1023323392 and 1023323401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88790 + ... + 99650.

It is an arithmetic number, because the mean of its divisors is an integer number (51246916).

Almost surely, 21023323420 is an apocalyptic number.

1023323420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023323420 is an abundant number, since it is smaller than the sum of its proper divisors (1436528548).

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

1023323420 is a wasteful number, since it uses less digits than its factorization.

1023323420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11550 (or 11548 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1023323420 is about 31989.4266907052. The cubic root of 1023323420 is about 1007.7148021048.

Adding to 1023323420 its reverse (243233201), we get a palindrome (1266556621).

The spelling of 1023323420 in words is "one billion, twenty-three million, three hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 673 1346 2692 3365 4711 6730 9422 10861 13460 18844 21722 23555 43444 47110 54305 76027 94220 108610 152054 217220 304108 380135 760270 1520540 7309453 14618906 29237812 36547265 51166171 73094530 102332342 146189060 204664684 255830855 511661710 1023323420