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1125785088 = 2933313771
BaseRepresentation
bin100001100011010…
…0001111000000000
32220110100210211000
41003012201320000
54301200110323
6303413252000
736620005161
oct10306417000
92813323730
101125785088
11528526aaa
12275034000
1314c30b32c
14a9731768
1568c7ae43
hex431a1e00

1125785088 has 320 divisors, whose sum is σ = 3582627840. Its totient is φ = 348364800.

The previous prime is 1125785083. The next prime is 1125785099. The reversal of 1125785088 is 8805875211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125785083) 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, 15856093 + ... + 15856163.

It is an arithmetic number, because the mean of its divisors is an integer number (11195712).

Almost surely, 21125785088 is an apocalyptic number.

1125785088 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 1125785088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791313920).

1125785088 is an abundant number, since it is smaller than the sum of its proper divisors (2456842752).

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

1125785088 is an equidigital number, since it uses as much as digits as its factorization.

1125785088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The square root of 1125785088 is about 33552.7210222956. The cubic root of 1125785088 is about 1040.2837884323.

The spelling of 1125785088 in words is "one billion, one hundred twenty-five million, seven hundred eighty-five thousand, eighty-eight".