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414420610 = 257128221
BaseRepresentation
bin11000101100111…
…000111010000010
31001212210202012111
4120230320322002
51322042424420
6105042245534
713161342232
oct3054707202
91055722174
10414420610
111a2a2537a
12b69568aa
1367b202c6
143d079cc2
15265b145a
hex18b38e82

414420610 has 24 divisors (see below), whose sum is σ = 756703548. Its totient is φ = 163413600.

The previous prime is 414420583. The next prime is 414420619. The reversal of 414420610 is 16024414.

It can be written as a sum of positive squares in 2 ways, for example, as 398042401 + 16378209 = 19951^2 + 4047^2 .

It is not an unprimeable number, because it can be changed into a prime (414420619) 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 11 ways as a sum of consecutive naturals, for example, 46300 + ... + 54520.

Almost surely, 2414420610 is an apocalyptic number.

414420610 is a deficient number, since it is larger than the sum of its proper divisors (342282938).

414420610 is an equidigital number, since it uses as much as digits as its factorization.

414420610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8370 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 414420610 is about 20357.3232523335. The cubic root of 414420610 is about 745.5563071605.

The spelling of 414420610 in words is "four hundred fourteen million, four hundred twenty thousand, six hundred ten".

Divisors: 1 2 5 10 71 142 355 710 5041 8221 10082 16442 25205 41105 50410 82210 583691 1167382 2918455 5836910 41442061 82884122 207210305 414420610