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1042105320 = 233252894737
BaseRepresentation
bin111110000111010…
…100001111101000
32200121220102202100
4332013110033220
54113234332240
6251223533400
734552514634
oct7607241750
92617812670
101042105320
11495272173
12250bba260
13137b90089
149c58bdc4
156174be30
hex3e1d43e8

1042105320 has 48 divisors (see below), whose sum is σ = 3386843460. Its totient is φ = 277894656.

The previous prime is 1042105319. The next prime is 1042105327. The reversal of 1042105320 is 235012401.

It can be written as a sum of positive squares in 2 ways, for example, as 963357444 + 78747876 = 31038^2 + 8874^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1042105293 and 1042105302.

It is not an unprimeable number, because it can be changed into a prime (1042105327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1447009 + ... + 1447728.

Almost surely, 21042105320 is an apocalyptic number.

1042105320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042105320 is an abundant number, since it is smaller than the sum of its proper divisors (2344738140).

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

1042105320 is a wasteful number, since it uses less digits than its factorization.

1042105320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894754 (or 2894747 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1042105320 is about 32281.6560913470. The cubic root of 1042105320 is about 1013.8426047964.

Adding to 1042105320 its reverse (235012401), we get a palindrome (1277117721).

The spelling of 1042105320 in words is "one billion, forty-two million, one hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2894737 5789474 8684211 11578948 14473685 17368422 23157896 26052633 28947370 34736844 43421055 52105266 57894740 69473688 86842110 104210532 115789480 130263165 173684220 208421064 260526330 347368440 521052660 1042105320