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420997269 = 372111971193
BaseRepresentation
bin11001000101111…
…110100010010101
31002100011212200110
4121011332202111
51330233403034
6105435233233
713301263200
oct3105764225
91070155613
10420997269
111a6707530
12b8ba8819
13692b3914
143dcac937
1526e5ede9
hex1917e895

420997269 has 96 divisors (see below), whose sum is σ = 764328960. Its totient is φ = 203212800.

The previous prime is 420997261. The next prime is 420997277. The reversal of 420997269 is 962799024.

It is an interprime number because it is at equal distance from previous prime (420997261) and next prime (420997277).

It is not a de Polignac number, because 420997269 - 23 = 420997261 is a prime.

It is a super-2 number, since 2×4209972692 = 354477401010916722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420997261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2181237 + ... + 2181429.

It is an arithmetic number, because the mean of its divisors is an integer number (7961760).

Almost surely, 2420997269 is an apocalyptic number.

420997269 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

420997269 is a deficient number, since it is larger than the sum of its proper divisors (343331691).

420997269 is a wasteful number, since it uses less digits than its factorization.

420997269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 420997269 is about 20518.2179781773. The cubic root of 420997269 is about 749.4795019704.

The spelling of 420997269 in words is "four hundred twenty million, nine hundred ninety-seven thousand, two hundred sixty-nine".

Divisors: 1 3 7 11 19 21 33 49 57 71 77 133 147 193 209 213 231 399 497 539 579 627 781 931 1349 1351 1463 1491 1617 2123 2343 2793 3479 3667 4047 4053 4389 5467 6369 9443 9457 10241 10437 11001 13703 14839 14861 16401 25669 28329 28371 30723 38269 40337 41109 44517 44583 66101 77007 95921 103873 104027 114807 121011 150733 179683 198303 260357 282359 287763 311619 312081 452199 539049 671447 727111 781071 847077 1055131 1822499 1976513 2014341 2181333 2863927 3165393 5467497 5929539 7385917 8591781 12757493 20047489 22157751 38272479 60142467 140332423 420997269