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1120030400 = 2652798861
BaseRepresentation
bin100001011000010…
…0100111011000000
32220001112102212102
41002300210323000
54243211433100
6303050045532
736520046516
oct10260447300
92801472772
101120030400
11525256465
122731198a8
1314b074ba8
14a8a744b6
15684e0cd5
hex42c24ec0

1120030400 has 84 divisors (see below), whose sum is σ = 2791175520. Its totient is φ = 442291200.

The previous prime is 1120030393. The next prime is 1120030433. The reversal of 1120030400 is 40300211.

It is a happy number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 121970 + ... + 130830.

It is an arithmetic number, because the mean of its divisors is an integer number (33228280).

Almost surely, 21120030400 is an apocalyptic number.

1120030400 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 1120030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395587760).

1120030400 is an abundant number, since it is smaller than the sum of its proper divisors (1671145120).

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

1120030400 is an equidigital number, since it uses as much as digits as its factorization.

1120030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962 (or 8947 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1120030400 is about 33466.8552451526. The cubic root of 1120030400 is about 1038.5082162269.

Adding to 1120030400 its reverse (40300211), we get a palindrome (1160330611).

The spelling of 1120030400 in words is "one billion, one hundred twenty million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 158 160 200 316 320 395 400 632 790 800 1264 1580 1600 1975 2528 3160 3950 5056 6320 7900 8861 12640 15800 17722 25280 31600 35444 44305 63200 70888 88610 126400 141776 177220 221525 283552 354440 443050 567104 700019 708880 886100 1400038 1417760 1772200 2800076 2835520 3500095 3544400 5600152 7000190 7088800 11200304 14000380 14177600 17500475 22400608 28000760 35000950 44801216 56001520 70001900 112003040 140003800 224006080 280007600 560015200 1120030400