Search a number
-
+
1107083208 = 23371134951
BaseRepresentation
bin100000111111100…
…1011111111001000
32212011011122122210
41001333023333020
54231403130313
6301504345120
736302023560
oct10177137710
92764148583
101107083208
11518a13000
1226a9151a0
13148490a2a
14a7063da0
15672d49c3
hex41fcbfc8

1107083208 has 128 divisors (see below), whose sum is σ = 3479869440. Its totient is φ = 287496000.

The previous prime is 1107083147. The next prime is 1107083233. The reversal of 1107083208 is 8023807011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221133 + ... + 226083.

It is an arithmetic number, because the mean of its divisors is an integer number (27186480).

Almost surely, 21107083208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107083208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739934720).

1107083208 is an abundant number, since it is smaller than the sum of its proper divisors (2372786232).

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

1107083208 is a wasteful number, since it uses less digits than its factorization.

1107083208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1107083208 is about 33272.8599311811. The cubic root of 1107083208 is about 1034.4910900978.

The spelling of 1107083208 in words is "one billion, one hundred seven million, eighty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1331 1452 1694 1848 2541 2662 2904 3388 3993 4951 5082 5324 6776 7986 9317 9902 10164 10648 14853 15972 18634 19804 20328 27951 29706 31944 34657 37268 39608 54461 55902 59412 69314 74536 103971 108922 111804 118824 138628 163383 207942 217844 223608 277256 326766 381227 415884 435688 599071 653532 762454 831768 1143681 1198142 1307064 1524908 1797213 2287362 2396284 3049816 3594426 4193497 4574724 4792568 6589781 7188852 8386994 9149448 12580491 13179562 14377704 16773988 19769343 25160982 26359124 33547976 39538686 46128467 50321964 52718248 79077372 92256934 100643928 138385401 158154744 184513868 276770802 369027736 553541604 1107083208