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420123493 = 29371273083
BaseRepresentation
bin11001000010101…
…001001101100101
31002021112111002101
4121002221031211
51330022422433
6105404412101
713260663556
oct3102511545
91067474071
10420123493
111a616aaa9
12b8847031
1369068caa
143db2232d
1526d3b07d
hex190a9365

420123493 has 16 divisors (see below), whose sum is σ = 450017280. Its totient is φ = 391438656.

The previous prime is 420123481. The next prime is 420123511. The reversal of 420123493 is 394321024.

It is a cyclic number.

It is not a de Polignac number, because 420123493 - 221 = 418026341 is a prime.

It is a super-4 number, since 4×4201234934 (a number of 36 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420123413) 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, 134730 + ... + 137812.

It is an arithmetic number, because the mean of its divisors is an integer number (28126080).

Almost surely, 2420123493 is an apocalyptic number.

It is an amenable number.

420123493 is a deficient number, since it is larger than the sum of its proper divisors (29893787).

420123493 is a wasteful number, since it uses less digits than its factorization.

420123493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276.

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 420123493 is about 20496.9142311715. The cubic root of 420123493 is about 748.9606302052.

The spelling of 420123493 in words is "four hundred twenty million, one hundred twenty-three thousand, four hundred ninety-three".

Divisors: 1 29 37 127 1073 3083 3683 4699 89407 114071 136271 391541 3308059 11354689 14487017 420123493