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1125245088 = 253311197601
BaseRepresentation
bin100001100010001…
…1110000010100000
32220102100101002000
41003010132002200
54301030320323
6303353524000
736612265632
oct10304360240
92812311060
101125245088
11528198320
12274a13600
1314c17c5c6
14a9630a52
1568bc0e43
hex4311e0a0

1125245088 has 192 divisors, whose sum is σ = 3604487040. Its totient is φ = 338688000.

The previous prime is 1125245081. The next prime is 1125245089. The reversal of 1125245088 is 8805425211.

1125245088 is a `hidden beast` number, since 1 + 1 + 2 + 524 + 50 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1125245081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1871988 + ... + 1872588.

It is an arithmetic number, because the mean of its divisors is an integer number (18773370).

Almost surely, 21125245088 is an apocalyptic number.

1125245088 is a gapful number since it is divisible by the number (18) 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 1125245088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802243520).

1125245088 is an abundant number, since it is smaller than the sum of its proper divisors (2479241952).

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

1125245088 is a wasteful number, since it uses less digits than its factorization.

1125245088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1125245088 is about 33544.6730197210. The cubic root of 1125245088 is about 1040.1174324989.

The spelling of 1125245088 in words is "one billion, one hundred twenty-five million, two hundred forty-five thousand, eighty-eight".