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420390969 = 33137911927
BaseRepresentation
bin11001000011101…
…010100000111001
31002022001001222220
4121003222200321
51330110002334
6105414234253
713263156435
oct3103524071
91068031886
10420390969
111a6332a59
12b8955989
136913096b
143db919c5
1526d90449
hex190ea839

420390969 has 16 divisors (see below), whose sum is σ = 580177920. Its totient is φ = 270481680.

The previous prime is 420390967. The next prime is 420390973. The reversal of 420390969 is 969093024.

It is not a de Polignac number, because 420390969 - 21 = 420390967 is a prime.

It is a super-2 number, since 2×4203909692 = 353457133633517922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420390969.

It is not an unprimeable number, because it can be changed into a prime (420390967) 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, 29284 + ... + 41210.

It is an arithmetic number, because the mean of its divisors is an integer number (36261120).

Almost surely, 2420390969 is an apocalyptic number.

It is an amenable number.

420390969 is a deficient number, since it is larger than the sum of its proper divisors (159786951).

420390969 is a wasteful number, since it uses less digits than its factorization.

420390969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12340.

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 420390969 is about 20503.4379800072. The cubic root of 420390969 is about 749.1195410160.

The spelling of 420390969 in words is "four hundred twenty million, three hundred ninety thousand, nine hundred sixty-nine".

Divisors: 1 3 31 93 379 1137 11749 11927 35247 35781 369737 1109211 4520333 13560999 140130323 420390969