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1125161200 = 24524797617
BaseRepresentation
bin100001100010000…
…1001100011110000
32220102012010000001
41003010021203300
54301020124300
6303352035344
736611466232
oct10304114360
92812163001
101125161200
11528140299
12274992b54
1314c150377
14a960c252
1568ba616a
hex431098f0

1125161200 has 120 divisors (see below), whose sum is σ = 2793696192. Its totient is φ = 435240960.

The previous prime is 1125161159. The next prime is 1125161239. The reversal of 1125161200 is 21615211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1823292 + ... + 1823908.

Almost surely, 21125161200 is an apocalyptic number.

1125161200 is a gapful number since it is divisible by the number (10) 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 1125161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396848096).

1125161200 is an abundant number, since it is smaller than the sum of its proper divisors (1668534992).

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

1125161200 is a wasteful number, since it uses less digits than its factorization.

1125161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 1125161200 is about 33543.4226041410. The cubic root of 1125161200 is about 1040.0915846368.

Adding to 1125161200 its reverse (21615211), we get a palindrome (1146776411).

The spelling of 1125161200 in words is "one billion, one hundred twenty-five million, one hundred sixty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 97 100 188 194 200 235 376 388 400 470 485 617 752 776 940 970 1175 1234 1552 1880 1940 2350 2425 2468 3085 3760 3880 4559 4700 4850 4936 6170 7760 9118 9400 9700 9872 12340 15425 18236 18800 19400 22795 24680 28999 30850 36472 38800 45590 49360 57998 59849 61700 72944 91180 113975 115996 119698 123400 144995 182360 227950 231992 239396 246800 289990 299245 364720 455900 463984 478792 579980 598490 724975 911800 957584 1159960 1196980 1449950 1496225 1823600 2319920 2393960 2812903 2899900 2992450 4787920 5625806 5799800 5984900 11251612 11599600 11969800 14064515 22503224 23939600 28129030 45006448 56258060 70322575 112516120 140645150 225032240 281290300 562580600 1125161200