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1125728208 = 2432114715121
BaseRepresentation
bin100001100011001…
…0011111111010000
32220110020220210100
41003012103333100
54301141300313
6303412132400
736616350303
oct10306237720
92813226710
101125728208
115284982a0
12275007100
1314c2bb487
14a9718b3a
1568c69173
hex43193fd0

1125728208 has 120 divisors (see below), whose sum is σ = 3510239616. Its totient is φ = 333849600.

The previous prime is 1125728173. The next prime is 1125728209. The reversal of 1125728208 is 8028275211.

1125728208 is a `hidden beast` number, since 1 + 1 + 2 + 572 + 82 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125728209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66888 + ... + 82008.

Almost surely, 21125728208 is an apocalyptic number.

1125728208 is a gapful number since it is divisible by the number (18) 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 1125728208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755119808).

1125728208 is an abundant number, since it is smaller than the sum of its proper divisors (2384511408).

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

1125728208 is a wasteful number, since it uses less digits than its factorization.

1125728208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15193 (or 15184 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1125728208 is about 33551.8733903191. The cubic root of 1125728208 is about 1040.2662681143.

The spelling of 1125728208 in words is "one billion, one hundred twenty-five million, seven hundred twenty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 132 141 144 176 188 198 264 282 376 396 423 517 528 564 752 792 846 1034 1128 1551 1584 1692 2068 2256 3102 3384 4136 4653 6204 6768 8272 9306 12408 15121 18612 24816 30242 37224 45363 60484 74448 90726 120968 136089 166331 181452 241936 272178 332662 362904 498993 544356 665324 710687 725808 997986 1088712 1330648 1421374 1496979 1995972 2132061 2177424 2661296 2842748 2993958 3991944 4264122 5685496 5987916 6396183 7817557 7983888 8528244 11370992 11975832 12792366 15635114 17056488 23452671 23951664 25584732 31270228 34112976 46905342 51169464 62540456 70358013 93810684 102338928 125080912 140716026 187621368 281432052 375242736 562864104 1125728208