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8005240124 = 2275924120107
BaseRepresentation
bin1110111010010011…
…00100010100111100
3202122220021022222222
413131021210110330
5112343320140444
63402204024512
7402243263330
oct73511442474
922586238888
108005240124
113438827432
121674b32138
139a765929b
1455d26d7c0
1531cbd2eee
hex1dd26453c

8005240124 has 48 divisors (see below), whose sum is σ = 16350216960. Its totient is φ = 3358506240.

The previous prime is 8005240123. The next prime is 8005240141. The reversal of 8005240124 is 4210425008.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8005240093 and 8005240102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005240123) 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, 388079 + ... + 408185.

It is an arithmetic number, because the mean of its divisors is an integer number (340629520).

Almost surely, 28005240124 is an apocalyptic number.

It is an amenable number.

8005240124 is an abundant number, since it is smaller than the sum of its proper divisors (8344976836).

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

8005240124 is a wasteful number, since it uses less digits than its factorization.

8005240124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20418 (or 20416 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 8005240124 is about 89472.0074883759. The cubic root of 8005240124 is about 2000.4365816913.

The spelling of 8005240124 in words is "eight billion, five million, two hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 59 118 236 241 413 482 826 964 1652 1687 3374 6748 14219 20107 28438 40214 56876 80428 99533 140749 199066 281498 398132 562996 1186313 2372626 4745252 4845787 8304191 9691574 16608382 19383148 33216764 33920509 67841018 135682036 285901433 571802866 1143605732 2001310031 4002620062 8005240124