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1112844972 = 22319231371549
BaseRepresentation
bin100001001010100…
…1010101010101100
32212120000101022110
41002111022222230
54234342014342
6302232044020
736402011661
oct10225125254
92776011273
101112844972
11521198998
12270833610
1314972a465
14a7b23a68
1567a71c9c
hex4254aaac

1112844972 has 96 divisors (see below), whose sum is σ = 2874816000. Its totient is φ = 333476352.

The previous prime is 1112844959. The next prime is 1112844977. The reversal of 1112844972 is 2794482111.

It is a self number, because there is not a number n which added to its sum of digits gives 1112844972.

It is not an unprimeable number, because it can be changed into a prime (1112844977) 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 31 ways as a sum of consecutive naturals, for example, 717654 + ... + 719202.

It is an arithmetic number, because the mean of its divisors is an integer number (29946000).

Almost surely, 21112844972 is an apocalyptic number.

1112844972 is a gapful number since it is divisible by the number (12) 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 1112844972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437408000).

1112844972 is an abundant number, since it is smaller than the sum of its proper divisors (1761971028).

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

1112844972 is a wasteful number, since it uses less digits than its factorization.

1112844972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1733 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 1112844972 is about 33359.3311084020. The cubic root of 1112844972 is about 1036.2826395497.

The spelling of 1112844972 in words is "one billion, one hundred twelve million, eight hundred forty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 137 138 228 274 276 411 437 548 822 874 1311 1549 1644 1748 2603 2622 3098 3151 4647 5206 5244 6196 6302 7809 9294 9453 10412 12604 15618 18588 18906 29431 31236 35627 37812 58862 59869 71254 88293 106881 117724 119738 142508 176586 179607 212213 213762 239476 353172 359214 424426 427524 636639 676913 718428 848852 1273278 1353826 2030739 2546556 2707652 4032047 4061478 4880899 8064094 8122956 9761798 12096141 14642697 16128188 19523596 24192282 29285394 48384564 58570788 92737081 185474162 278211243 370948324 556422486 1112844972