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420417969 = 31132395189
BaseRepresentation
bin11001000011110…
…001000110110001
31002022002110000220
4121003301012301
51330111333334
6105415003253
713263331236
oct3103610661
91068073026
10420417969
111a6351274
12b8969529
136914003a
143db9b78d
1526d98449
hex190f11b1

420417969 has 16 divisors (see below), whose sum is σ = 567993600. Its totient is φ = 276582656.

The previous prime is 420417967. The next prime is 420417971. The reversal of 420417969 is 969714024.

It is an interprime number because it is at equal distance from previous prime (420417967) and next prime (420417971).

It is a cyclic number.

It is not a de Polignac number, because 420417969 - 21 = 420417967 is a prime.

It is a super-2 number, since 2×4204179692 = 353502537316169922, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 420417969.

It is not an unprimeable number, because it can be changed into a prime (420417967) 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 15 ways as a sum of consecutive naturals, for example, 78427 + ... + 83615.

It is an arithmetic number, because the mean of its divisors is an integer number (35499600).

Almost surely, 2420417969 is an apocalyptic number.

It is an amenable number.

420417969 is a deficient number, since it is larger than the sum of its proper divisors (147575631).

420417969 is a wasteful number, since it uses less digits than its factorization.

420417969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 420417969 is about 20504.0963955986. The cubic root of 420417969 is about 749.1355783052.

The spelling of 420417969 in words is "four hundred twenty million, four hundred seventeen thousand, nine hundred sixty-nine".

Divisors: 1 3 113 239 339 717 5189 15567 27007 81021 586357 1240171 1759071 3720513 140139323 420417969