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1140512200 = 2352101131431
BaseRepresentation
bin100001111111010…
…1101010111001000
32221111002000121121
41003332231113020
54313432342300
6305101045024
740156123312
oct10376552710
92844060547
101140512200
11535875773
12279b56774
131523966b9
14ab6867b2
156a1d981a
hex43fad5c8

1140512200 has 96 divisors (see below), whose sum is σ = 2704648320. Its totient is φ = 447200000.

The previous prime is 1140512179. The next prime is 1140512209. The reversal of 1140512200 is 22150411.

It is not an unprimeable number, because it can be changed into a prime (1140512209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2645985 + ... + 2646415.

It is an arithmetic number, because the mean of its divisors is an integer number (28173420).

Almost surely, 21140512200 is an apocalyptic number.

1140512200 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 1140512200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352324160).

1140512200 is an abundant number, since it is smaller than the sum of its proper divisors (1564136120).

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

1140512200 is a wasteful number, since it uses less digits than its factorization.

1140512200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1140512200 is about 33771.4702078544. The cubic root of 1140512200 is about 1044.8003556248.

Adding to 1140512200 its reverse (22150411), we get a palindrome (1162662611).

The spelling of 1140512200 in words is "one billion, one hundred forty million, five hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 131 200 202 262 404 431 505 524 655 808 862 1010 1048 1310 1724 2020 2155 2525 2620 3275 3448 4040 4310 5050 5240 6550 8620 10100 10775 13100 13231 17240 20200 21550 26200 26462 43100 43531 52924 56461 66155 86200 87062 105848 112922 132310 174124 217655 225844 264620 282305 330775 348248 435310 451688 529240 564610 661550 870620 1088275 1129220 1323100 1411525 1741240 2176550 2258440 2646200 2823050 4353100 5646100 5702561 8706200 11292200 11405122 22810244 28512805 45620488 57025610 114051220 142564025 228102440 285128050 570256100 1140512200