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1125736380 = 2238523373
BaseRepresentation
bin100001100011001…
…0101111110111100
32220110021100000000
41003012111332330
54301142031010
6303412234300
736616413156
oct10306257674
92813240000
101125736380
115284a344a
1227500b990
1314c2c2102
14a971bad6
1568c6b7c0
hex43195fbc

1125736380 has 216 divisors, whose sum is σ = 3709978272. Its totient is φ = 286374528.

The previous prime is 1125736373. The next prime is 1125736411. The reversal of 1125736380 is 836375211.

1125736380 is a `hidden beast` number, since 1 + 1 + 2 + 573 + 6 + 3 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3017874 + ... + 3018246.

Almost surely, 21125736380 is an apocalyptic number.

1125736380 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 1125736380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854989136).

1125736380 is an abundant number, since it is smaller than the sum of its proper divisors (2584241892).

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

1125736380 is an equidigital number, since it uses as much as digits as its factorization.

1125736380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1125736380 is about 33551.9951716735. The cubic root of 1125736380 is about 1040.2687853102.

It can be divided in two parts, 1125 and 736380, that added together give a triangular number (737505 = T1214).

The spelling of 1125736380 in words is "one billion, one hundred twenty-five million, seven hundred thirty-six thousand, three hundred eighty".