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1125899460 = 2233572172503
BaseRepresentation
bin100001100011011…
…1101110011000100
32220110120121201000
41003012331303010
54301212240320
6303415533300
736620662500
oct10306756304
92813517630
101125899460
115285a4a24
1227508a230
1314c34b3ca
14a9761300
1568c9ec90
hex431bdcc4

1125899460 has 288 divisors, whose sum is σ = 4316094720. Its totient is φ = 242113536.

The previous prime is 1125899441. The next prime is 1125899491. The reversal of 1125899460 is 649985211.

1125899460 is a `hidden beast` number, since 1 + 1 + 2 + 589 + 9 + 4 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 448569 + ... + 451071.

It is an arithmetic number, because the mean of its divisors is an integer number (14986440).

Almost surely, 21125899460 is an apocalyptic number.

1125899460 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 1125899460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158047360).

1125899460 is an abundant number, since it is smaller than the sum of its proper divisors (3190195260).

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

1125899460 is a wasteful number, since it uses less digits than its factorization.

1125899460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1125899460 is about 33554.4253415254. The cubic root of 1125899460 is about 1040.3190157920.

The spelling of 1125899460 in words is "one billion, one hundred twenty-five million, eight hundred ninety-nine thousand, four hundred sixty".