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8103053920 = 255137154869
BaseRepresentation
bin1111000101111101…
…01100101001100000
3202220201022210022011
413202332230221200
5113043340211140
63420020322304
7404541551623
oct74276545140
922821283264
108103053920
113488a65385
1216a1843394
139c19b5980
1456c251dba
153265a4cea
hex1e2faca60

8103053920 has 96 divisors (see below), whose sum is σ = 20906786880. Its totient is φ = 2949703680.

The previous prime is 8103053911. The next prime is 8103053921. The reversal of 8103053920 is 293503018.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8103053921) 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 15 ways as a sum of consecutive naturals, for example, 120246 + ... + 175114.

It is an arithmetic number, because the mean of its divisors is an integer number (217779030).

Almost surely, 28103053920 is an apocalyptic number.

8103053920 is a gapful number since it is divisible by the number (80) 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 8103053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10453393440).

8103053920 is an abundant number, since it is smaller than the sum of its proper divisors (12803732960).

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

8103053920 is a wasteful number, since it uses less digits than its factorization.

8103053920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54968 (or 54960 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 8103053920 is about 90016.9646233420. The cubic root of 8103053920 is about 2008.5512129376.

Adding to 8103053920 its reverse (293503018), we get a palindrome (8396556938).

The spelling of 8103053920 in words is "eight billion, one hundred three million, fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 71 80 104 130 142 160 208 260 284 355 416 520 568 710 923 1040 1136 1420 1846 2080 2272 2840 3692 4615 5680 7384 9230 11360 14768 18460 29536 36920 54869 73840 109738 147680 219476 274345 438952 548690 713297 877904 1097380 1426594 1755808 2194760 2853188 3566485 3895699 4389520 5706376 7132970 7791398 8779040 11412752 14265940 15582796 19478495 22825504 28531880 31165592 38956990 50644087 57063760 62331184 77913980 101288174 114127520 124662368 155827960 202576348 253220435 311655920 405152696 506440870 623311840 810305392 1012881740 1620610784 2025763480 4051526960 8103053920