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1042104024 = 233213285643
BaseRepresentation
bin111110000111010…
…011111011011000
32200121220100222100
4332013103323120
54113234312044
6251223523400
734552511103
oct7607237330
92617810870
101042104024
114952711a5
12250bb9560
13137b8c600
149c58b73a
156174b869
hex3e1d3ed8

1042104024 has 72 divisors (see below), whose sum is σ = 3056206140. Its totient is φ = 320643648.

The previous prime is 1042103977. The next prime is 1042104047. The reversal of 1042104024 is 4204012401.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1042103988 and 1042104006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30654 + ... + 54989.

Almost surely, 21042104024 is an apocalyptic number.

It is an amenable number.

1042104024 is an abundant number, since it is smaller than the sum of its proper divisors (2014102116).

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

1042104024 is a wasteful number, since it uses less digits than its factorization.

1042104024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85681 (or 85661 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1042104024 is about 32281.6360180211. The cubic root of 1042104024 is about 1013.8421845124.

Adding to 1042104024 its reverse (4204012401), we get a palindrome (5246116425).

The spelling of 1042104024 in words is "one billion, forty-two million, one hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 85643 171286 256929 342572 513858 685144 770787 1027716 1113359 1541574 2055432 2226718 3083148 3340077 4453436 6166296 6680154 8906872 10020231 13360308 14473667 20040462 26720616 28947334 40080924 43421001 57894668 80161848 86842002 115789336 130263003 173684004 260526006 347368008 521052012 1042104024