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1125451940 = 225373374513
BaseRepresentation
bin100001100010101…
…0000100010100100
32220102201212211012
41003011100202210
54301103430230
6303402201352
736614116664
oct10305204244
92812655735
101125451940
11528319778
12274ab3258
1314c2227c2
14a96861a4
1568c12395
hex431508a4

1125451940 has 48 divisors (see below), whose sum is σ = 2435068272. Its totient is φ = 436617216.

The previous prime is 1125451913. The next prime is 1125451949. The reversal of 1125451940 is 491545211.

It can be written as a sum of positive squares in 8 ways, for example, as 128913316 + 996538624 = 11354^2 + 31568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1125451897 and 1125451906.

It is not an unprimeable number, because it can be changed into a prime (1125451949) 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, 247124 + ... + 251636.

It is an arithmetic number, because the mean of its divisors is an integer number (50730589).

Almost surely, 21125451940 is an apocalyptic number.

1125451940 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 1125451940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217534136).

1125451940 is an abundant number, since it is smaller than the sum of its proper divisors (1309616332).

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

1125451940 is a wasteful number, since it uses less digits than its factorization.

1125451940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 1125451940 is about 33547.7561097609. The cubic root of 1125451940 is about 1040.1811629671.

The spelling of 1125451940 in words is "one billion, one hundred twenty-five million, four hundred fifty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 337 370 674 740 1348 1685 3370 4513 6740 9026 12469 18052 22565 24938 45130 49876 62345 90260 124690 166981 249380 333962 667924 834905 1520881 1669810 3041762 3339620 6083524 7604405 15208810 30417620 56272597 112545194 225090388 281362985 562725970 1125451940