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5430930800 = 2452149293311
BaseRepresentation
bin1010000111011010…
…10110110101110000
3112000111020212111012
411003231112311300
542110304241200
62254523410052
7251404102331
oct50355266560
915014225435
105430930800
112337689769
121076983928
1368720ca29
143973d8288
1521bbc9a35
hex143b56d70

5430930800 has 120 divisors (see below), whose sum is σ = 13222591200. Its totient is φ = 2143513600.

The previous prime is 5430930763. The next prime is 5430930803. The reversal of 5430930800 is 80390345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430930803) 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, 17462645 + ... + 17462955.

It is an arithmetic number, because the mean of its divisors is an integer number (110188260).

Almost surely, 25430930800 is an apocalyptic number.

5430930800 is a gapful number since it is divisible by the number (50) 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 5430930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611295600).

5430930800 is an abundant number, since it is smaller than the sum of its proper divisors (7791660400).

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

5430930800 is a wasteful number, since it uses less digits than its factorization.

5430930800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 5430930800 is about 73694.8492094258. The cubic root of 5430930800 is about 1757.7539789716.

The spelling of 5430930800 in words is "five billion, four hundred thirty million, nine hundred thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 293 298 311 400 586 596 622 745 1172 1192 1244 1465 1490 1555 2344 2384 2488 2930 2980 3110 3725 4688 4976 5860 5960 6220 7325 7450 7775 11720 11920 12440 14650 14900 15550 23440 24880 29300 29800 31100 43657 46339 58600 59600 62200 87314 91123 92678 117200 124400 174628 182246 185356 218285 231695 349256 364492 370712 436570 455615 463390 698512 728984 741424 873140 911230 926780 1091425 1158475 1457968 1746280 1822460 1853560 2182850 2278075 2316950 3492560 3644920 3707120 4365700 4556150 4633900 7289840 8731400 9112300 9267800 13577327 17462800 18224600 18535600 27154654 36449200 54309308 67886635 108618616 135773270 217237232 271546540 339433175 543093080 678866350 1086186160 1357732700 2715465400 5430930800