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1128760000 = 265428219
BaseRepresentation
bin100001101000111…
…1000001011000000
32220122221221121221
41003101320023000
54302430310000
6304001124424
736654205324
oct10321701300
92818857557
101128760000
1152a179105
12276029714
1314cb10434
14a9ca7984
156916761a
hex434782c0

1128760000 has 70 divisors (see below), whose sum is σ = 2799057140. Its totient is φ = 451488000.

The previous prime is 1128759977. The next prime is 1128760001. The reversal of 1128760000 is 678211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1128760001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 25891 + ... + 54109.

Almost surely, 21128760000 is an apocalyptic number.

1128760000 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 1128760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399528570).

1128760000 is an abundant number, since it is smaller than the sum of its proper divisors (1670297140).

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

1128760000 is an frugal number, since it uses more digits than its factorization.

1128760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28251 (or 28226 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1128760000 is about 33597.0236777010. The cubic root of 1128760000 is about 1041.1993067876.

The spelling of 1128760000 in words is "one billion, one hundred twenty-eight million, seven hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 28219 40000 56438 112876 141095 225752 282190 451504 564380 705475 903008 1128760 1410950 1806016 2257520 2821900 3527375 4515040 5643800 7054750 9030080 11287600 14109500 17636875 22575200 28219000 35273750 45150400 56438000 70547500 112876000 141095000 225752000 282190000 564380000 1128760000