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1125298440 = 233357473167
BaseRepresentation
bin100001100010010…
…1011000100001000
32220102110002021000
41003010223010020
54301034022230
6303355015000
736612610320
oct10304530410
92812402230
101125298440
11528224412
12274a3a460
1314c19a986
14a9646280
1568bd1b60
hex4312b108

1125298440 has 256 divisors, whose sum is σ = 4379443200. Its totient is φ = 251659008.

The previous prime is 1125298429. The next prime is 1125298477. The reversal of 1125298440 is 448925211.

1125298440 is a `hidden beast` number, since 1 + 12 + 529 + 84 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1125298395 and 1125298404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 353737 + ... + 356903.

It is an arithmetic number, because the mean of its divisors is an integer number (17107200).

Almost surely, 21125298440 is an apocalyptic number.

1125298440 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 1125298440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189721600).

1125298440 is an abundant number, since it is smaller than the sum of its proper divisors (3254144760).

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

1125298440 is a wasteful number, since it uses less digits than its factorization.

1125298440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1125298440 is about 33545.4682483342. The cubic root of 1125298440 is about 1040.1338708342.

The spelling of 1125298440 in words is "one billion, one hundred twenty-five million, two hundred ninety-eight thousand, four hundred forty".