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1125827712 = 27323761433
BaseRepresentation
bin100001100011010…
…1100010010000000
32220110102222021200
41003012230102000
54301202441322
6303414221200
736620243352
oct10306542200
92813388250
101125827712
11528556029
12275054800
1314c324859
14a97430d2
1568c888ac
hex431ac480

1125827712 has 192 divisors, whose sum is σ = 3389600760. Its totient is φ = 358318080.

The previous prime is 1125827693. The next prime is 1125827741. The reversal of 1125827712 is 2177285211.

1125827712 is a `hidden beast` number, since 1 + 1 + 2 + 582 + 7 + 71 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 670602816 + 455224896 = 25896^2 + 21336^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2599848 + ... + 2600280.

Almost surely, 21125827712 is an apocalyptic number.

1125827712 is a gapful number since it is divisible by the number (12) 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 1125827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694800380).

1125827712 is an abundant number, since it is smaller than the sum of its proper divisors (2263773048).

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

1125827712 is a wasteful number, since it uses less digits than its factorization.

1125827712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 536 counting only the distinct ones).

The product of its digits is 15680, while the sum is 36.

The square root of 1125827712 is about 33553.3561957668. The cubic root of 1125827712 is about 1040.2969171953.

The spelling of 1125827712 in words is "one billion, one hundred twenty-five million, eight hundred twenty-seven thousand, seven hundred twelve".