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1042212024 = 233272837307
BaseRepresentation
bin111110000111101…
…110010010111000
32200122002212010100
4332013232102320
54113301241044
6251230115400
734553441010
oct7607562270
92618085110
101042212024
11495335357
1225104bb60
13137bc9809
149c5b8c40
156176d869
hex3e1ee4b8

1042212024 has 96 divisors (see below), whose sum is σ = 3237736320. Its totient is φ = 296682048.

The previous prime is 1042212007. The next prime is 1042212037. The reversal of 1042212024 is 4202122401.

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 = 1042211988 and 1042212006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138979 + ... + 146285.

It is an arithmetic number, because the mean of its divisors is an integer number (33726420).

Almost surely, 21042212024 is an apocalyptic number.

1042212024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042212024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618868160).

1042212024 is an abundant number, since it is smaller than the sum of its proper divisors (2195524296).

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

1042212024 is a wasteful number, since it uses less digits than its factorization.

1042212024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7609 (or 7602 counting only the distinct ones).

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

The square root of 1042212024 is about 32283.3087523568. The cubic root of 1042212024 is about 1013.8772069833.

Adding to 1042212024 its reverse (4202122401), we get a palindrome (5244334425).

The spelling of 1042212024 in words is "one billion, forty-two million, two hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 283 504 566 849 1132 1698 1981 2264 2547 3396 3962 5094 5943 6792 7307 7924 10188 11886 14614 15848 17829 20376 21921 23772 29228 35658 43842 47544 51149 58456 65763 71316 87684 102298 131526 142632 153447 175368 204596 263052 306894 409192 460341 526104 613788 920682 1227576 1841364 2067881 3682728 4135762 6203643 8271524 12407286 14475167 16543048 18610929 24814572 28950334 37221858 43425501 49629144 57900668 74443716 86851002 115801336 130276503 148887432 173702004 260553006 347404008 521106012 1042212024