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420003705 = 35113109193
BaseRepresentation
bin11001000010001…
…011111101111001
31002021022101202210
4121002023331321
51330010104310
6105402045333
713256654412
oct3102137571
91067271683
10420003705
111a6099000
12b87a9849
1369026604
143dad0809
1526d15820
hex1908bf79

420003705 has 64 divisors (see below), whose sum is σ = 749802240. Its totient is φ = 200724480.

The previous prime is 420003697. The next prime is 420003707. The reversal of 420003705 is 507300024.

It is a happy number.

It is not a de Polignac number, because 420003705 - 23 = 420003697 is a prime.

It is a super-2 number, since 2×4200037052 = 352806224427454050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420003707) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2176089 + ... + 2176281.

It is an arithmetic number, because the mean of its divisors is an integer number (11715660).

Almost surely, 2420003705 is an apocalyptic number.

It is an amenable number.

420003705 is a deficient number, since it is larger than the sum of its proper divisors (329798535).

420003705 is a wasteful number, since it uses less digits than its factorization.

420003705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 420003705 is about 20493.9919244641. The cubic root of 420003705 is about 748.8894408005.

Adding to 420003705 its reverse (507300024), we get a palindrome (927303729).

The spelling of 420003705 in words is "four hundred twenty million, three thousand, seven hundred five".

Divisors: 1 3 5 11 15 33 55 109 121 165 193 327 363 545 579 605 965 1199 1331 1635 1815 2123 2895 3597 3993 5995 6369 6655 10615 13189 17985 19965 21037 23353 31845 39567 63111 65945 70059 105185 116765 145079 197835 231407 256883 315555 350295 435237 694221 725395 770649 1157035 1284415 2176185 2545477 3471105 3853245 7636431 12727385 28000247 38182155 84000741 140001235 420003705