Search a number
-
+
1108684272 = 2432361101163
BaseRepresentation
bin100001000010101…
…0010110111110000
32212021011222220110
41002011102313300
54232310344042
6302002541320
736321442443
oct10205226760
92767158813
101108684272
115199069a3
1226b367840
131489016c7
14a735d65a
15674ee09c
hex42152df0

1108684272 has 160 divisors (see below), whose sum is σ = 3086516736. Its totient is φ = 342144000.

The previous prime is 1108684261. The next prime is 1108684273. The reversal of 1108684272 is 2724868011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1108684272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1108684273) 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, 6801663 + ... + 6801825.

Almost surely, 21108684272 is an apocalyptic number.

1108684272 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 1108684272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543258368).

1108684272 is an abundant number, since it is smaller than the sum of its proper divisors (1977832464).

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

1108684272 is a wasteful number, since it uses less digits than its factorization.

1108684272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 1108684272 is about 33296.9108477048. The cubic root of 1108684272 is about 1034.9895436410.

The spelling of 1108684272 in words is "one billion, one hundred eight million, six hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 61 69 92 101 122 138 163 183 184 202 244 276 303 326 366 368 404 488 489 552 606 652 732 808 976 978 1104 1212 1304 1403 1464 1616 1956 2323 2424 2608 2806 2928 3749 3912 4209 4646 4848 5612 6161 6969 7498 7824 8418 9292 9943 11224 11247 12322 13938 14996 16463 16836 18483 18584 19886 22448 22494 24644 27876 29829 29992 32926 33672 36966 37168 39772 44988 49288 49389 55752 59658 59984 65852 67344 73932 79544 89976 98576 98778 111504 119316 131704 141703 147864 159088 179952 197556 228689 238632 263408 283406 295728 378649 395112 425109 457378 477264 566812 686067 757298 790224 850218 914756 1004243 1133624 1135947 1372134 1514596 1700436 1829512 2008486 2267248 2271894 2744268 3012729 3029192 3400872 3659024 4016972 4543788 5488536 6025458 6058384 6801744 8033944 9087576 10977072 12050916 16067888 18175152 23097589 24101832 46195178 48203664 69292767 92390356 138585534 184780712 277171068 369561424 554342136 1108684272