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424000010 = 257192910993
BaseRepresentation
bin11001010001011…
…011101000001010
31002112211102200002
4121101123220022
51332021000020
6110023443002
713335640430
oct3121335012
91075742602
10424000010
111a8378535
12b9bb6462
1369ac55a5
1440450d50
1527354975
hex1945ba0a

424000010 has 64 divisors (see below), whose sum is σ = 949881600. Its totient is φ = 132959232.

The previous prime is 423999973. The next prime is 424000013. The reversal of 424000010 is 10000424.

It is a junction number, because it is equal to n+sod(n) for n = 423999955 and 424000000.

It is not an unprimeable number, because it can be changed into a prime (424000013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33074 + ... + 44066.

It is an arithmetic number, because the mean of its divisors is an integer number (14841900).

Almost surely, 2424000010 is an apocalyptic number.

424000010 is an abundant number, since it is smaller than the sum of its proper divisors (525881590).

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

424000010 is a wasteful number, since it uses less digits than its factorization.

424000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11055.

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 424000010 is about 20591.2605247955. The cubic root of 424000010 is about 751.2571567503.

Adding to 424000010 its reverse (10000424), we get a palindrome (434000434).

The spelling of 424000010 in words is "four hundred twenty-four million, ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 19 29 35 38 58 70 95 133 145 190 203 266 290 406 551 665 1015 1102 1330 2030 2755 3857 5510 7714 10993 19285 21986 38570 54965 76951 109930 153902 208867 318797 384755 417734 637594 769510 1044335 1462069 1593985 2088670 2231579 2924138 3187970 4463158 6057143 7310345 11157895 12114286 14620690 22315790 30285715 42400001 60571430 84800002 212000005 424000010