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1130757120 = 21032553463
BaseRepresentation
bin100001101100101…
…1111110000000000
32220210201102011100
41003121133300000
54303433211440
6304112014400
740010163663
oct10331376000
92823642140
101130757120
11530312619
12276831400
1315035c46c
14aa2676da
156940e230
hex4365fc00

1130757120 has 264 divisors, whose sum is σ = 4000591296. Its totient is φ = 295206912.

The previous prime is 1130757107. The next prime is 1130757149. The reversal of 1130757120 is 217570311.

It is a happy number.

It is a super-2 number, since 2×11307571202 = 2557223328861388800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2442009 + ... + 2442471.

Almost surely, 21130757120 is an apocalyptic number.

1130757120 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 1130757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000295648).

1130757120 is an abundant number, since it is smaller than the sum of its proper divisors (2869834176).

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

1130757120 is a wasteful number, since it uses less digits than its factorization.

1130757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 1130757120 is about 33626.7322230395. The cubic root of 1130757120 is about 1041.8130111474.

The spelling of 1130757120 in words is "one billion, one hundred thirty million, seven hundred fifty-seven thousand, one hundred twenty".