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1125083904 = 283734271
BaseRepresentation
bin100001100001111…
…0110101100000000
32220102001011222020
41003003312230000
54301010141104
6303350241440
736611025000
oct10303665400
92812034866
101125083904
1152809820a
12274956280
1314c124129
14a95cc000
1568b8d2d9
hex430f6b00

1125083904 has 144 divisors (see below), whose sum is σ = 3492787200. Its totient is φ = 321377280.

The previous prime is 1125083887. The next prime is 1125083909. The reversal of 1125083904 is 4093805211.

It is not an unprimeable number, because it can be changed into a prime (1125083909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261289 + ... + 265559.

Almost surely, 21125083904 is an apocalyptic number.

1125083904 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 1125083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746393600).

1125083904 is an abundant number, since it is smaller than the sum of its proper divisors (2367703296).

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

1125083904 is an frugal number, since it uses more digits than its factorization.

1125083904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1125083904 is about 33542.2704061606. The cubic root of 1125083904 is about 1040.0677667874.

The spelling of 1125083904 in words is "one billion, one hundred twenty-five million, eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 588 672 686 768 784 896 1029 1176 1344 1372 1568 1792 2058 2352 2688 2744 3136 4116 4271 4704 5376 5488 6272 8232 8542 9408 10976 12544 12813 16464 17084 18816 21952 25626 29897 32928 34168 37632 43904 51252 59794 65856 68336 87808 89691 102504 119588 131712 136672 179382 205008 209279 239176 263424 273344 358764 410016 418558 478352 546688 627837 717528 820032 837116 956704 1093376 1255674 1435056 1464953 1640064 1674232 1913408 2511348 2870112 2929906 3280128 3348464 3826816 4394859 5022696 5740224 5859812 6696928 7653632 8789718 10045392 11480448 11719624 13393856 17579436 20090784 22960896 23439248 26787712 35158872 40181568 46878496 53575424 70317744 80363136 93756992 140635488 160726272 187513984 281270976 375027968 562541952 1125083904