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1130968000 = 2653141371
BaseRepresentation
bin100001101101001…
…0011001111000000
32220211010010102201
41003122103033000
54304011434000
6304120322544
740012032541
oct10332231700
92824103381
101130968000
11530446aa8
12276913454
13150404446
14aa2c04c8
156945196a
hex436933c0

1130968000 has 56 divisors (see below), whose sum is σ = 2800862064. Its totient is φ = 452384000.

The previous prime is 1130967997. The next prime is 1130968001. The reversal of 1130968000 is 8690311.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1130968000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130968001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 62686 + ... + 78685.

It is an arithmetic number, because the mean of its divisors is an integer number (50015394).

Almost surely, 21130968000 is an apocalyptic number.

1130968000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130968000 is an abundant number, since it is smaller than the sum of its proper divisors (1669894064).

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

1130968000 is an equidigital number, since it uses as much as digits as its factorization.

1130968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141398 (or 141378 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1130968000 is about 33629.8676774084. The cubic root of 1130968000 is about 1041.8777712590.

The spelling of 1130968000 in words is "one billion, one hundred thirty million, nine hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 141371 282742 565484 706855 1130968 1413710 2261936 2827420 3534275 4523872 5654840 7068550 9047744 11309680 14137100 17671375 22619360 28274200 35342750 45238720 56548400 70685500 113096800 141371000 226193600 282742000 565484000 1130968000